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Finding the Fourth Proportional to 8,181, 12,273.12 and 2,987.28

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Solution

The fourth proportional to 8,181, 12,273.12 and 2,987.28 is: 4,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181 : 12,273.12 = 2,987.28 : x
  2. Step 2: Convert to fraction form
    8,181/12,273.12 = 2,987.28/x
  3. Step 3: Cross multiply
    8,181x = 12,273.12 × 2,987.28
  4. Step 4: Simplify right side
    8,181x = 36,663,245.91
  5. Step 5: Solve for x
    x = 36,663,245.91/8,181
  6. Step 6: Final answer
    x = 4,481.51

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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.