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Finding the Fourth Proportional to 11,996.20, 16,555.26 and 6,691

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Solution

The fourth proportional to 11,996.20, 16,555.26 and 6,691 is: 9,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.20 : 16,555.26 = 6,691 : x
  2. Step 2: Convert to fraction form
    11,996.20/16,555.26 = 6,691/x
  3. Step 3: Cross multiply
    11,996.20x = 16,555.26 × 6,691
  4. Step 4: Simplify right side
    11,996.20x = 110,771,244.66
  5. Step 5: Solve for x
    x = 110,771,244.66/11,996.20
  6. Step 6: Final answer
    x = 9,233.86

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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.