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Finding the Fourth Proportional to 8,452.82, 11,661 and 5,469.63

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Solution

The fourth proportional to 8,452.82, 11,661 and 5,469.63 is: 7,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.82 : 11,661 = 5,469.63 : x
  2. Step 2: Convert to fraction form
    8,452.82/11,661 = 5,469.63/x
  3. Step 3: Cross multiply
    8,452.82x = 11,661 × 5,469.63
  4. Step 4: Simplify right side
    8,452.82x = 63,781,355.43
  5. Step 5: Solve for x
    x = 63,781,355.43/8,452.82
  6. Step 6: Final answer
    x = 7,545.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.