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Finding the Fourth Proportional to 8,391.57, 12,587.10 and 2,151.60

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Solution

The fourth proportional to 8,391.57, 12,587.10 and 2,151.60 is: 3,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.57 : 12,587.10 = 2,151.60 : x
  2. Step 2: Convert to fraction form
    8,391.57/12,587.10 = 2,151.60/x
  3. Step 3: Cross multiply
    8,391.57x = 12,587.10 × 2,151.60
  4. Step 4: Simplify right side
    8,391.57x = 27,082,404.36
  5. Step 5: Solve for x
    x = 27,082,404.36/8,391.57
  6. Step 6: Final answer
    x = 3,227.33

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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.