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Finding the Fourth Proportional to 8,286.74, 12,432.16 and 3,903.17

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Solution

The fourth proportional to 8,286.74, 12,432.16 and 3,903.17 is: 5,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.74 : 12,432.16 = 3,903.17 : x
  2. Step 2: Convert to fraction form
    8,286.74/12,432.16 = 3,903.17/x
  3. Step 3: Cross multiply
    8,286.74x = 12,432.16 × 3,903.17
  4. Step 4: Simplify right side
    8,286.74x = 48,524,833.95
  5. Step 5: Solve for x
    x = 48,524,833.95/8,286.74
  6. Step 6: Final answer
    x = 5,855.72

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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.