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Finding the Fourth Proportional to 11,472.57, 15,833.25 and 6,436.80

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Solution

The fourth proportional to 11,472.57, 15,833.25 and 6,436.80 is: 8,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.57 : 15,833.25 = 6,436.80 : x
  2. Step 2: Convert to fraction form
    11,472.57/15,833.25 = 6,436.80/x
  3. Step 3: Cross multiply
    11,472.57x = 15,833.25 × 6,436.80
  4. Step 4: Simplify right side
    11,472.57x = 101,915,463.60
  5. Step 5: Solve for x
    x = 101,915,463.60/11,472.57
  6. Step 6: Final answer
    x = 8,883.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.