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Finding the Fourth Proportional to 8,261.92, 12,391.20 and 2,418.88

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Solution

The fourth proportional to 8,261.92, 12,391.20 and 2,418.88 is: 3,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.92 : 12,391.20 = 2,418.88 : x
  2. Step 2: Convert to fraction form
    8,261.92/12,391.20 = 2,418.88/x
  3. Step 3: Cross multiply
    8,261.92x = 12,391.20 × 2,418.88
  4. Step 4: Simplify right side
    8,261.92x = 29,972,825.86
  5. Step 5: Solve for x
    x = 29,972,825.86/8,261.92
  6. Step 6: Final answer
    x = 3,627.83

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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.