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Finding the Fourth Proportional to 7,963.73, 11,947.02 and 3,281.18

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Solution

The fourth proportional to 7,963.73, 11,947.02 and 3,281.18 is: 4,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.73 : 11,947.02 = 3,281.18 : x
  2. Step 2: Convert to fraction form
    7,963.73/11,947.02 = 3,281.18/x
  3. Step 3: Cross multiply
    7,963.73x = 11,947.02 × 3,281.18
  4. Step 4: Simplify right side
    7,963.73x = 39,200,275.65
  5. Step 5: Solve for x
    x = 39,200,275.65/7,963.73
  6. Step 6: Final answer
    x = 4,922.35

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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.