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Finding the Fourth Proportional to 8,185.62, 12,286.05 and 5,847.90

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Solution

The fourth proportional to 8,185.62, 12,286.05 and 5,847.90 is: 8,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.62 : 12,286.05 = 5,847.90 : x
  2. Step 2: Convert to fraction form
    8,185.62/12,286.05 = 5,847.90/x
  3. Step 3: Cross multiply
    8,185.62x = 12,286.05 × 5,847.90
  4. Step 4: Simplify right side
    8,185.62x = 71,847,591.80
  5. Step 5: Solve for x
    x = 71,847,591.80/8,185.62
  6. Step 6: Final answer
    x = 8,777.29

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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.