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Finding the Fourth Proportional to 10,840.92, 14,957.46 and 6,863.73

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Solution

The fourth proportional to 10,840.92, 14,957.46 and 6,863.73 is: 9,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.92 : 14,957.46 = 6,863.73 : x
  2. Step 2: Convert to fraction form
    10,840.92/14,957.46 = 6,863.73/x
  3. Step 3: Cross multiply
    10,840.92x = 14,957.46 × 6,863.73
  4. Step 4: Simplify right side
    10,840.92x = 102,663,966.93
  5. Step 5: Solve for x
    x = 102,663,966.93/10,840.92
  6. Step 6: Final answer
    x = 9,470.04

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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.