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Finding the Fourth Proportional to 10,957.92, 16,439.31 and 3,166.14

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Solution

The fourth proportional to 10,957.92, 16,439.31 and 3,166.14 is: 4,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.92 : 16,439.31 = 3,166.14 : x
  2. Step 2: Convert to fraction form
    10,957.92/16,439.31 = 3,166.14/x
  3. Step 3: Cross multiply
    10,957.92x = 16,439.31 × 3,166.14
  4. Step 4: Simplify right side
    10,957.92x = 52,049,156.96
  5. Step 5: Solve for x
    x = 52,049,156.96/10,957.92
  6. Step 6: Final answer
    x = 4,749.91

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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.