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Finding the Fourth Proportional to 11,517.89, 17,255.85 and 8,000.46

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Solution

The fourth proportional to 11,517.89, 17,255.85 and 8,000.46 is: 11,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.89 : 17,255.85 = 8,000.46 : x
  2. Step 2: Convert to fraction form
    11,517.89/17,255.85 = 8,000.46/x
  3. Step 3: Cross multiply
    11,517.89x = 17,255.85 × 8,000.46
  4. Step 4: Simplify right side
    11,517.89x = 138,054,737.69
  5. Step 5: Solve for x
    x = 138,054,737.69/11,517.89
  6. Step 6: Final answer
    x = 11,986.12

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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.