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Finding the Fourth Proportional to 10,309.28, 15,463.92 and 5,721.44

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Solution

The fourth proportional to 10,309.28, 15,463.92 and 5,721.44 is: 8,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309.28 : 15,463.92 = 5,721.44 : x
  2. Step 2: Convert to fraction form
    10,309.28/15,463.92 = 5,721.44/x
  3. Step 3: Cross multiply
    10,309.28x = 15,463.92 × 5,721.44
  4. Step 4: Simplify right side
    10,309.28x = 88,475,890.44
  5. Step 5: Solve for x
    x = 88,475,890.44/10,309.28
  6. Step 6: Final answer
    x = 8,582.16

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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.