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Finding the Fourth Proportional to 8,610.24, 11,882.52 and 6,744

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Solution

The fourth proportional to 8,610.24, 11,882.52 and 6,744 is: 9,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.24 : 11,882.52 = 6,744 : x
  2. Step 2: Convert to fraction form
    8,610.24/11,882.52 = 6,744/x
  3. Step 3: Cross multiply
    8,610.24x = 11,882.52 × 6,744
  4. Step 4: Simplify right side
    8,610.24x = 80,135,714.88
  5. Step 5: Solve for x
    x = 80,135,714.88/8,610.24
  6. Step 6: Final answer
    x = 9,307.02

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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.