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Finding the Fourth Proportional to 8,123, 11,209.77 and 4,397

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Solution

The fourth proportional to 8,123, 11,209.77 and 4,397 is: 6,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123 : 11,209.77 = 4,397 : x
  2. Step 2: Convert to fraction form
    8,123/11,209.77 = 4,397/x
  3. Step 3: Cross multiply
    8,123x = 11,209.77 × 4,397
  4. Step 4: Simplify right side
    8,123x = 49,289,358.69
  5. Step 5: Solve for x
    x = 49,289,358.69/8,123
  6. Step 6: Final answer
    x = 6,067.88

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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.