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Finding the Fourth Proportional to 10,641.65, 15,963.03 and 2,744.24

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Solution

The fourth proportional to 10,641.65, 15,963.03 and 2,744.24 is: 4,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.65 : 15,963.03 = 2,744.24 : x
  2. Step 2: Convert to fraction form
    10,641.65/15,963.03 = 2,744.24/x
  3. Step 3: Cross multiply
    10,641.65x = 15,963.03 × 2,744.24
  4. Step 4: Simplify right side
    10,641.65x = 43,806,305.63
  5. Step 5: Solve for x
    x = 43,806,305.63/10,641.65
  6. Step 6: Final answer
    x = 4,116.50

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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.