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Finding the Fourth Proportional to 8,286.85, 12,432.50 and 3,607.86

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Solution

The fourth proportional to 8,286.85, 12,432.50 and 3,607.86 is: 5,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.85 : 12,432.50 = 3,607.86 : x
  2. Step 2: Convert to fraction form
    8,286.85/12,432.50 = 3,607.86/x
  3. Step 3: Cross multiply
    8,286.85x = 12,432.50 × 3,607.86
  4. Step 4: Simplify right side
    8,286.85x = 44,854,719.45
  5. Step 5: Solve for x
    x = 44,854,719.45/8,286.85
  6. Step 6: Final answer
    x = 5,412.76

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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.