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Finding the Fourth Proportional to 7,960.76, 11,941.17 and 2,414.15

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Solution

The fourth proportional to 7,960.76, 11,941.17 and 2,414.15 is: 3,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.76 : 11,941.17 = 2,414.15 : x
  2. Step 2: Convert to fraction form
    7,960.76/11,941.17 = 2,414.15/x
  3. Step 3: Cross multiply
    7,960.76x = 11,941.17 × 2,414.15
  4. Step 4: Simplify right side
    7,960.76x = 28,827,775.56
  5. Step 5: Solve for x
    x = 28,827,775.56/7,960.76
  6. Step 6: Final answer
    x = 3,621.23

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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.