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Finding the Fourth Proportional to 8,649.27, 11,910.85 and 7,514.41

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Solution

The fourth proportional to 8,649.27, 11,910.85 and 7,514.41 is: 10,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.27 : 11,910.85 = 7,514.41 : x
  2. Step 2: Convert to fraction form
    8,649.27/11,910.85 = 7,514.41/x
  3. Step 3: Cross multiply
    8,649.27x = 11,910.85 × 7,514.41
  4. Step 4: Simplify right side
    8,649.27x = 89,503,010.35
  5. Step 5: Solve for x
    x = 89,503,010.35/8,649.27
  6. Step 6: Final answer
    x = 10,348.04

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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.