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Finding the Fourth Proportional to 10,511.97, 15,721.47 and 9,350.13

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Solution

The fourth proportional to 10,511.97, 15,721.47 and 9,350.13 is: 13,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.97 : 15,721.47 = 9,350.13 : x
  2. Step 2: Convert to fraction form
    10,511.97/15,721.47 = 9,350.13/x
  3. Step 3: Cross multiply
    10,511.97x = 15,721.47 × 9,350.13
  4. Step 4: Simplify right side
    10,511.97x = 146,997,788.29
  5. Step 5: Solve for x
    x = 146,997,788.29/10,511.97
  6. Step 6: Final answer
    x = 13,983.85

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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.