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Finding the Fourth Proportional to 8,109.92, 12,164.24 and 2,563.43

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Solution

The fourth proportional to 8,109.92, 12,164.24 and 2,563.43 is: 3,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.92 : 12,164.24 = 2,563.43 : x
  2. Step 2: Convert to fraction form
    8,109.92/12,164.24 = 2,563.43/x
  3. Step 3: Cross multiply
    8,109.92x = 12,164.24 × 2,563.43
  4. Step 4: Simplify right side
    8,109.92x = 31,182,104.10
  5. Step 5: Solve for x
    x = 31,182,104.10/8,109.92
  6. Step 6: Final answer
    x = 3,844.94

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