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Finding the Fourth Proportional to 10,462.75, 15,695.16 and 3,439.92

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Solution

The fourth proportional to 10,462.75, 15,695.16 and 3,439.92 is: 5,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.75 : 15,695.16 = 3,439.92 : x
  2. Step 2: Convert to fraction form
    10,462.75/15,695.16 = 3,439.92/x
  3. Step 3: Cross multiply
    10,462.75x = 15,695.16 × 3,439.92
  4. Step 4: Simplify right side
    10,462.75x = 53,989,999.11
  5. Step 5: Solve for x
    x = 53,989,999.11/10,462.75
  6. Step 6: Final answer
    x = 5,160.21

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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.