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Finding the Fourth Proportional to 8,399.50, 11,517.60 and 8,180.80

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Solution

The fourth proportional to 8,399.50, 11,517.60 and 8,180.80 is: 11,217.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.50 : 11,517.60 = 8,180.80 : x
  2. Step 2: Convert to fraction form
    8,399.50/11,517.60 = 8,180.80/x
  3. Step 3: Cross multiply
    8,399.50x = 11,517.60 × 8,180.80
  4. Step 4: Simplify right side
    8,399.50x = 94,223,182.08
  5. Step 5: Solve for x
    x = 94,223,182.08/8,399.50
  6. Step 6: Final answer
    x = 11,217.71

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.