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Finding the Fourth Proportional to 11,964.67, 16,514.97 and 8,186.41

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Solution

The fourth proportional to 11,964.67, 16,514.97 and 8,186.41 is: 11,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.67 : 16,514.97 = 8,186.41 : x
  2. Step 2: Convert to fraction form
    11,964.67/16,514.97 = 8,186.41/x
  3. Step 3: Cross multiply
    11,964.67x = 16,514.97 × 8,186.41
  4. Step 4: Simplify right side
    11,964.67x = 135,198,315.56
  5. Step 5: Solve for x
    x = 135,198,315.56/11,964.67
  6. Step 6: Final answer
    x = 11,299.79

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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.