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Finding the Fourth Proportional to 10,494.20, 14,481.90 and 5,778.38

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Solution

The fourth proportional to 10,494.20, 14,481.90 and 5,778.38 is: 7,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.20 : 14,481.90 = 5,778.38 : x
  2. Step 2: Convert to fraction form
    10,494.20/14,481.90 = 5,778.38/x
  3. Step 3: Cross multiply
    10,494.20x = 14,481.90 × 5,778.38
  4. Step 4: Simplify right side
    10,494.20x = 83,681,848.91
  5. Step 5: Solve for x
    x = 83,681,848.91/10,494.20
  6. Step 6: Final answer
    x = 7,974.11

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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.