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Finding the Fourth Proportional to 10,337.52, 15,513.30 and 5,657.16

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Solution

The fourth proportional to 10,337.52, 15,513.30 and 5,657.16 is: 8,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,337.52 : 15,513.30 = 5,657.16 : x
  2. Step 2: Convert to fraction form
    10,337.52/15,513.30 = 5,657.16/x
  3. Step 3: Cross multiply
    10,337.52x = 15,513.30 × 5,657.16
  4. Step 4: Simplify right side
    10,337.52x = 87,761,220.23
  5. Step 5: Solve for x
    x = 87,761,220.23/10,337.52
  6. Step 6: Final answer
    x = 8,489.58

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