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Finding the Fourth Proportional to 8,277.66, 12,414.60 and 2,432.88

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Solution

The fourth proportional to 8,277.66, 12,414.60 and 2,432.88 is: 3,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.66 : 12,414.60 = 2,432.88 : x
  2. Step 2: Convert to fraction form
    8,277.66/12,414.60 = 2,432.88/x
  3. Step 3: Cross multiply
    8,277.66x = 12,414.60 × 2,432.88
  4. Step 4: Simplify right side
    8,277.66x = 30,203,232.05
  5. Step 5: Solve for x
    x = 30,203,232.05/8,277.66
  6. Step 6: Final answer
    x = 3,648.76

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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.