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Finding the Fourth Proportional to 8,374.32, 12,542.04 and 8,082.72

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Solution

The fourth proportional to 8,374.32, 12,542.04 and 8,082.72 is: 12,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.32 : 12,542.04 = 8,082.72 : x
  2. Step 2: Convert to fraction form
    8,374.32/12,542.04 = 8,082.72/x
  3. Step 3: Cross multiply
    8,374.32x = 12,542.04 × 8,082.72
  4. Step 4: Simplify right side
    8,374.32x = 101,373,797.55
  5. Step 5: Solve for x
    x = 101,373,797.55/8,374.32
  6. Step 6: Final answer
    x = 12,105.32

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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.