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Finding the Fourth Proportional to 11,759.85, 16,229.88 and 7,514.82

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Solution

The fourth proportional to 11,759.85, 16,229.88 and 7,514.82 is: 10,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.85 : 16,229.88 = 7,514.82 : x
  2. Step 2: Convert to fraction form
    11,759.85/16,229.88 = 7,514.82/x
  3. Step 3: Cross multiply
    11,759.85x = 16,229.88 × 7,514.82
  4. Step 4: Simplify right side
    11,759.85x = 121,964,626.82
  5. Step 5: Solve for x
    x = 121,964,626.82/11,759.85
  6. Step 6: Final answer
    x = 10,371.27

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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.