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Finding the Fourth Proportional to 10,641.92, 15,963.80 and 3,246.46

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Solution

The fourth proportional to 10,641.92, 15,963.80 and 3,246.46 is: 4,869.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.92 : 15,963.80 = 3,246.46 : x
  2. Step 2: Convert to fraction form
    10,641.92/15,963.80 = 3,246.46/x
  3. Step 3: Cross multiply
    10,641.92x = 15,963.80 × 3,246.46
  4. Step 4: Simplify right side
    10,641.92x = 51,825,782.01
  5. Step 5: Solve for x
    x = 51,825,782.01/10,641.92
  6. Step 6: Final answer
    x = 4,869.97

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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.