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Finding the Fourth Proportional to 8,372.16, 12,538.19 and 5,434.29

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Solution

The fourth proportional to 8,372.16, 12,538.19 and 5,434.29 is: 8,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,372.16 : 12,538.19 = 5,434.29 : x
  2. Step 2: Convert to fraction form
    8,372.16/12,538.19 = 5,434.29/x
  3. Step 3: Cross multiply
    8,372.16x = 12,538.19 × 5,434.29
  4. Step 4: Simplify right side
    8,372.16x = 68,136,174.12
  5. Step 5: Solve for x
    x = 68,136,174.12/8,372.16
  6. Step 6: Final answer
    x = 8,138.42

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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.