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Finding the Fourth Proportional to 8,517.60, 12,771.12 and 3,584.70

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Solution

The fourth proportional to 8,517.60, 12,771.12 and 3,584.70 is: 5,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.60 : 12,771.12 = 3,584.70 : x
  2. Step 2: Convert to fraction form
    8,517.60/12,771.12 = 3,584.70/x
  3. Step 3: Cross multiply
    8,517.60x = 12,771.12 × 3,584.70
  4. Step 4: Simplify right side
    8,517.60x = 45,780,633.86
  5. Step 5: Solve for x
    x = 45,780,633.86/8,517.60
  6. Step 6: Final answer
    x = 5,374.83

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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.