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Finding the Fourth Proportional to 8,109.28, 12,164.50 and 2,843.68

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Solution

The fourth proportional to 8,109.28, 12,164.50 and 2,843.68 is: 4,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.28 : 12,164.50 = 2,843.68 : x
  2. Step 2: Convert to fraction form
    8,109.28/12,164.50 = 2,843.68/x
  3. Step 3: Cross multiply
    8,109.28x = 12,164.50 × 2,843.68
  4. Step 4: Simplify right side
    8,109.28x = 34,591,945.36
  5. Step 5: Solve for x
    x = 34,591,945.36/8,109.28
  6. Step 6: Final answer
    x = 4,265.72

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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.