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Finding the Fourth Proportional to 11,996.82, 16,556.19 and 6,691.38

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Solution

The fourth proportional to 11,996.82, 16,556.19 and 6,691.38 is: 9,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.82 : 16,556.19 = 6,691.38 : x
  2. Step 2: Convert to fraction form
    11,996.82/16,556.19 = 6,691.38/x
  3. Step 3: Cross multiply
    11,996.82x = 16,556.19 × 6,691.38
  4. Step 4: Simplify right side
    11,996.82x = 110,783,758.64
  5. Step 5: Solve for x
    x = 110,783,758.64/11,996.82
  6. Step 6: Final answer
    x = 9,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.