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Finding the Fourth Proportional to 10,098.59, 15,150.97 and 5,171.71

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Solution

The fourth proportional to 10,098.59, 15,150.97 and 5,171.71 is: 7,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.59 : 15,150.97 = 5,171.71 : x
  2. Step 2: Convert to fraction form
    10,098.59/15,150.97 = 5,171.71/x
  3. Step 3: Cross multiply
    10,098.59x = 15,150.97 × 5,171.71
  4. Step 4: Simplify right side
    10,098.59x = 78,356,397.20
  5. Step 5: Solve for x
    x = 78,356,397.20/10,098.59
  6. Step 6: Final answer
    x = 7,759.15

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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.