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Finding the Fourth Proportional to 10,253.92, 15,355.68 and 6,545.20

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Solution

The fourth proportional to 10,253.92, 15,355.68 and 6,545.20 is: 9,801.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.92 : 15,355.68 = 6,545.20 : x
  2. Step 2: Convert to fraction form
    10,253.92/15,355.68 = 6,545.20/x
  3. Step 3: Cross multiply
    10,253.92x = 15,355.68 × 6,545.20
  4. Step 4: Simplify right side
    10,253.92x = 100,505,996.74
  5. Step 5: Solve for x
    x = 100,505,996.74/10,253.92
  6. Step 6: Final answer
    x = 9,801.71

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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.