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Finding the Fourth Proportional to 10,957.92, 15,121.92 and 6,242.20

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Solution

The fourth proportional to 10,957.92, 15,121.92 and 6,242.20 is: 8,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.92 : 15,121.92 = 6,242.20 : x
  2. Step 2: Convert to fraction form
    10,957.92/15,121.92 = 6,242.20/x
  3. Step 3: Cross multiply
    10,957.92x = 15,121.92 × 6,242.20
  4. Step 4: Simplify right side
    10,957.92x = 94,394,049.02
  5. Step 5: Solve for x
    x = 94,394,049.02/10,957.92
  6. Step 6: Final answer
    x = 8,614.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.