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Finding the Fourth Proportional to 7,960.56, 11,942.73 and 2,414.22

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Solution

The fourth proportional to 7,960.56, 11,942.73 and 2,414.22 is: 3,621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.56 : 11,942.73 = 2,414.22 : x
  2. Step 2: Convert to fraction form
    7,960.56/11,942.73 = 2,414.22/x
  3. Step 3: Cross multiply
    7,960.56x = 11,942.73 × 2,414.22
  4. Step 4: Simplify right side
    7,960.56x = 28,832,377.62
  5. Step 5: Solve for x
    x = 28,832,377.62/7,960.56
  6. Step 6: Final answer
    x = 3,621.90

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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.