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Finding the Fourth Proportional to 6,988.14, 10,481.92 and 2,371.14

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Solution

The fourth proportional to 6,988.14, 10,481.92 and 2,371.14 is: 3,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.14 : 10,481.92 = 2,371.14 : x
  2. Step 2: Convert to fraction form
    6,988.14/10,481.92 = 2,371.14/x
  3. Step 3: Cross multiply
    6,988.14x = 10,481.92 × 2,371.14
  4. Step 4: Simplify right side
    6,988.14x = 24,854,099.79
  5. Step 5: Solve for x
    x = 24,854,099.79/6,988.14
  6. Step 6: Final answer
    x = 3,556.61

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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.