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Finding the Fourth Proportional to 11,491.82, 17,234.13 and 7,616.78

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Solution

The fourth proportional to 11,491.82, 17,234.13 and 7,616.78 is: 11,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.82 : 17,234.13 = 7,616.78 : x
  2. Step 2: Convert to fraction form
    11,491.82/17,234.13 = 7,616.78/x
  3. Step 3: Cross multiply
    11,491.82x = 17,234.13 × 7,616.78
  4. Step 4: Simplify right side
    11,491.82x = 131,268,576.70
  5. Step 5: Solve for x
    x = 131,268,576.70/11,491.82
  6. Step 6: Final answer
    x = 11,422.78

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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.