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Finding the Fourth Proportional to 7,963.50, 11,945.24 and 3,286.14

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Solution

The fourth proportional to 7,963.50, 11,945.24 and 3,286.14 is: 4,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.50 : 11,945.24 = 3,286.14 : x
  2. Step 2: Convert to fraction form
    7,963.50/11,945.24 = 3,286.14/x
  3. Step 3: Cross multiply
    7,963.50x = 11,945.24 × 3,286.14
  4. Step 4: Simplify right side
    7,963.50x = 39,253,730.97
  5. Step 5: Solve for x
    x = 39,253,730.97/7,963.50
  6. Step 6: Final answer
    x = 4,929.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.