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Finding the Fourth Proportional to 10,789.74, 16,180.69 and 3,767.78

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Solution

The fourth proportional to 10,789.74, 16,180.69 and 3,767.78 is: 5,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.74 : 16,180.69 = 3,767.78 : x
  2. Step 2: Convert to fraction form
    10,789.74/16,180.69 = 3,767.78/x
  3. Step 3: Cross multiply
    10,789.74x = 16,180.69 × 3,767.78
  4. Step 4: Simplify right side
    10,789.74x = 60,965,280.17
  5. Step 5: Solve for x
    x = 60,965,280.17/10,789.74
  6. Step 6: Final answer
    x = 5,650.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.