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Finding the Fourth Proportional to 8,451.92, 12,616.90 and 7,141.20

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Solution

The fourth proportional to 8,451.92, 12,616.90 and 7,141.20 is: 10,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.92 : 12,616.90 = 7,141.20 : x
  2. Step 2: Convert to fraction form
    8,451.92/12,616.90 = 7,141.20/x
  3. Step 3: Cross multiply
    8,451.92x = 12,616.90 × 7,141.20
  4. Step 4: Simplify right side
    8,451.92x = 90,099,806.28
  5. Step 5: Solve for x
    x = 90,099,806.28/8,451.92
  6. Step 6: Final answer
    x = 10,660.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.