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Finding the Fourth Proportional to 7,661.34, 11,481.37 and 3,491.15

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Solution

The fourth proportional to 7,661.34, 11,481.37 and 3,491.15 is: 5,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.34 : 11,481.37 = 3,491.15 : x
  2. Step 2: Convert to fraction form
    7,661.34/11,481.37 = 3,491.15/x
  3. Step 3: Cross multiply
    7,661.34x = 11,481.37 × 3,491.15
  4. Step 4: Simplify right side
    7,661.34x = 40,083,217.94
  5. Step 5: Solve for x
    x = 40,083,217.94/7,661.34
  6. Step 6: Final answer
    x = 5,231.88

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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.