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Finding the Fourth Proportional to 10,957.97, 16,439.72 and 3,166.73

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Solution

The fourth proportional to 10,957.97, 16,439.72 and 3,166.73 is: 4,750.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.97 : 16,439.72 = 3,166.73 : x
  2. Step 2: Convert to fraction form
    10,957.97/16,439.72 = 3,166.73/x
  3. Step 3: Cross multiply
    10,957.97x = 16,439.72 × 3,166.73
  4. Step 4: Simplify right side
    10,957.97x = 52,060,138.68
  5. Step 5: Solve for x
    x = 52,060,138.68/10,957.97
  6. Step 6: Final answer
    x = 4,750.89

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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.