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Finding the Fourth Proportional to 7,960.82, 11,943.04 and 2,414.32

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Solution

The fourth proportional to 7,960.82, 11,943.04 and 2,414.32 is: 3,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.82 : 11,943.04 = 2,414.32 : x
  2. Step 2: Convert to fraction form
    7,960.82/11,943.04 = 2,414.32/x
  3. Step 3: Cross multiply
    7,960.82x = 11,943.04 × 2,414.32
  4. Step 4: Simplify right side
    7,960.82x = 28,834,320.33
  5. Step 5: Solve for x
    x = 28,834,320.33/7,960.82
  6. Step 6: Final answer
    x = 3,622.03

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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.