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Finding the Fourth Proportional to 7,882.60, 11,824.13 and 3,724.57

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Solution

The fourth proportional to 7,882.60, 11,824.13 and 3,724.57 is: 5,586.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.60 : 11,824.13 = 3,724.57 : x
  2. Step 2: Convert to fraction form
    7,882.60/11,824.13 = 3,724.57/x
  3. Step 3: Cross multiply
    7,882.60x = 11,824.13 × 3,724.57
  4. Step 4: Simplify right side
    7,882.60x = 44,039,799.87
  5. Step 5: Solve for x
    x = 44,039,799.87/7,882.60
  6. Step 6: Final answer
    x = 5,586.96

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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.