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Finding the Fourth Proportional to 8,590.59, 11,766.18 and 8,086.23

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Solution

The fourth proportional to 8,590.59, 11,766.18 and 8,086.23 is: 11,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.59 : 11,766.18 = 8,086.23 : x
  2. Step 2: Convert to fraction form
    8,590.59/11,766.18 = 8,086.23/x
  3. Step 3: Cross multiply
    8,590.59x = 11,766.18 × 8,086.23
  4. Step 4: Simplify right side
    8,590.59x = 95,144,037.70
  5. Step 5: Solve for x
    x = 95,144,037.70/8,590.59
  6. Step 6: Final answer
    x = 11,075.38

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Half scale
Find fourth proportional to 17,181.18, 23,532.36 and 16,172.46
Double scale
Find fourth proportional to 8,591.59, 11,767.55 and 8,087.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.