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Finding the Fourth Proportional to 11,996.78, 16,555.23 and 6,691.46

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Solution

The fourth proportional to 11,996.78, 16,555.23 and 6,691.46 is: 9,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.78 : 16,555.23 = 6,691.46 : x
  2. Step 2: Convert to fraction form
    11,996.78/16,555.23 = 6,691.46/x
  3. Step 3: Cross multiply
    11,996.78x = 16,555.23 × 6,691.46
  4. Step 4: Simplify right side
    11,996.78x = 110,778,576.56
  5. Step 5: Solve for x
    x = 110,778,576.56/11,996.78
  6. Step 6: Final answer
    x = 9,234.03

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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.