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Finding the Fourth Proportional to 8,587.59, 11,762.08 and 8,083.23

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Solution

The fourth proportional to 8,587.59, 11,762.08 and 8,083.23 is: 11,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.59 : 11,762.08 = 8,083.23 : x
  2. Step 2: Convert to fraction form
    8,587.59/11,762.08 = 8,083.23/x
  3. Step 3: Cross multiply
    8,587.59x = 11,762.08 × 8,083.23
  4. Step 4: Simplify right side
    8,587.59x = 95,075,533.60
  5. Step 5: Solve for x
    x = 95,075,533.60/8,587.59
  6. Step 6: Final answer
    x = 11,071.28

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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.