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Finding the Fourth Proportional to 8,154.06, 12,229.23 and 3,767.28

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Solution

The fourth proportional to 8,154.06, 12,229.23 and 3,767.28 is: 5,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.06 : 12,229.23 = 3,767.28 : x
  2. Step 2: Convert to fraction form
    8,154.06/12,229.23 = 3,767.28/x
  3. Step 3: Cross multiply
    8,154.06x = 12,229.23 × 3,767.28
  4. Step 4: Simplify right side
    8,154.06x = 46,070,933.59
  5. Step 5: Solve for x
    x = 46,070,933.59/8,154.06
  6. Step 6: Final answer
    x = 5,650.06

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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.