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Finding the Fourth Proportional to 11,540.12, 17,311.02 and 4,144.64

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Solution

The fourth proportional to 11,540.12, 17,311.02 and 4,144.64 is: 6,217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.12 : 17,311.02 = 4,144.64 : x
  2. Step 2: Convert to fraction form
    11,540.12/17,311.02 = 4,144.64/x
  3. Step 3: Cross multiply
    11,540.12x = 17,311.02 × 4,144.64
  4. Step 4: Simplify right side
    11,540.12x = 71,747,945.93
  5. Step 5: Solve for x
    x = 71,747,945.93/11,540.12
  6. Step 6: Final answer
    x = 6,217.26

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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.