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Finding the Fourth Proportional to 8,154.54, 12,229.83 and 3,767.81

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Solution

The fourth proportional to 8,154.54, 12,229.83 and 3,767.81 is: 5,650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.54 : 12,229.83 = 3,767.81 : x
  2. Step 2: Convert to fraction form
    8,154.54/12,229.83 = 3,767.81/x
  3. Step 3: Cross multiply
    8,154.54x = 12,229.83 × 3,767.81
  4. Step 4: Simplify right side
    8,154.54x = 46,079,614.62
  5. Step 5: Solve for x
    x = 46,079,614.62/8,154.54
  6. Step 6: Final answer
    x = 5,650.79

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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.