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Finding the Fourth Proportional to 11,758.20, 16,227.02 and 7,772.40

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Solution

The fourth proportional to 11,758.20, 16,227.02 and 7,772.40 is: 10,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.20 : 16,227.02 = 7,772.40 : x
  2. Step 2: Convert to fraction form
    11,758.20/16,227.02 = 7,772.40/x
  3. Step 3: Cross multiply
    11,758.20x = 16,227.02 × 7,772.40
  4. Step 4: Simplify right side
    11,758.20x = 126,122,890.25
  5. Step 5: Solve for x
    x = 126,122,890.25/11,758.20
  6. Step 6: Final answer
    x = 10,726.38

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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.