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Finding the Fourth Proportional to 8,102.50, 11,180.98 and 4,517.33

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Solution

The fourth proportional to 8,102.50, 11,180.98 and 4,517.33 is: 6,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.50 : 11,180.98 = 4,517.33 : x
  2. Step 2: Convert to fraction form
    8,102.50/11,180.98 = 4,517.33/x
  3. Step 3: Cross multiply
    8,102.50x = 11,180.98 × 4,517.33
  4. Step 4: Simplify right side
    8,102.50x = 50,508,153.80
  5. Step 5: Solve for x
    x = 50,508,153.80/8,102.50
  6. Step 6: Final answer
    x = 6,233.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.