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Finding the Fourth Proportional to 8,427.57, 12,641.42 and 5,524.26

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Solution

The fourth proportional to 8,427.57, 12,641.42 and 5,524.26 is: 8,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.57 : 12,641.42 = 5,524.26 : x
  2. Step 2: Convert to fraction form
    8,427.57/12,641.42 = 5,524.26/x
  3. Step 3: Cross multiply
    8,427.57x = 12,641.42 × 5,524.26
  4. Step 4: Simplify right side
    8,427.57x = 69,834,490.85
  5. Step 5: Solve for x
    x = 69,834,490.85/8,427.57
  6. Step 6: Final answer
    x = 8,286.43

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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.