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Finding the Fourth Proportional to 7,882.47, 11,824.34 and 2,617.29

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Solution

The fourth proportional to 7,882.47, 11,824.34 and 2,617.29 is: 3,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.47 : 11,824.34 = 2,617.29 : x
  2. Step 2: Convert to fraction form
    7,882.47/11,824.34 = 2,617.29/x
  3. Step 3: Cross multiply
    7,882.47x = 11,824.34 × 2,617.29
  4. Step 4: Simplify right side
    7,882.47x = 30,947,713.75
  5. Step 5: Solve for x
    x = 30,947,713.75/7,882.47
  6. Step 6: Final answer
    x = 3,926.14

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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.