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Finding the Fourth Proportional to 10,672.64, 16,020.23 and 5,996.64

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Solution

The fourth proportional to 10,672.64, 16,020.23 and 5,996.64 is: 9,001.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.64 : 16,020.23 = 5,996.64 : x
  2. Step 2: Convert to fraction form
    10,672.64/16,020.23 = 5,996.64/x
  3. Step 3: Cross multiply
    10,672.64x = 16,020.23 × 5,996.64
  4. Step 4: Simplify right side
    10,672.64x = 96,067,522.04
  5. Step 5: Solve for x
    x = 96,067,522.04/10,672.64
  6. Step 6: Final answer
    x = 9,001.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.