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Finding the Fourth Proportional to 10,793.38, 14,897.08 and 6,811.82

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Solution

The fourth proportional to 10,793.38, 14,897.08 and 6,811.82 is: 9,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793.38 : 14,897.08 = 6,811.82 : x
  2. Step 2: Convert to fraction form
    10,793.38/14,897.08 = 6,811.82/x
  3. Step 3: Cross multiply
    10,793.38x = 14,897.08 × 6,811.82
  4. Step 4: Simplify right side
    10,793.38x = 101,476,227.49
  5. Step 5: Solve for x
    x = 101,476,227.49/10,793.38
  6. Step 6: Final answer
    x = 9,401.71

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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.