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Finding the Fourth Proportional to 8,242.46, 12,372.91 and 5,474.53

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Solution

The fourth proportional to 8,242.46, 12,372.91 and 5,474.53 is: 8,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.46 : 12,372.91 = 5,474.53 : x
  2. Step 2: Convert to fraction form
    8,242.46/12,372.91 = 5,474.53/x
  3. Step 3: Cross multiply
    8,242.46x = 12,372.91 × 5,474.53
  4. Step 4: Simplify right side
    8,242.46x = 67,735,868.76
  5. Step 5: Solve for x
    x = 67,735,868.76/8,242.46
  6. Step 6: Final answer
    x = 8,217.92

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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.