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Finding the Fourth Proportional to 8,075.80, 12,102.90 and 5,764.60

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Solution

The fourth proportional to 8,075.80, 12,102.90 and 5,764.60 is: 8,639.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.80 : 12,102.90 = 5,764.60 : x
  2. Step 2: Convert to fraction form
    8,075.80/12,102.90 = 5,764.60/x
  3. Step 3: Cross multiply
    8,075.80x = 12,102.90 × 5,764.60
  4. Step 4: Simplify right side
    8,075.80x = 69,768,377.34
  5. Step 5: Solve for x
    x = 69,768,377.34/8,075.80
  6. Step 6: Final answer
    x = 8,639.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.