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Finding the Fourth Proportional to 8,049.27, 12,073.50 and 2,205.90

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Solution

The fourth proportional to 8,049.27, 12,073.50 and 2,205.90 is: 3,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.27 : 12,073.50 = 2,205.90 : x
  2. Step 2: Convert to fraction form
    8,049.27/12,073.50 = 2,205.90/x
  3. Step 3: Cross multiply
    8,049.27x = 12,073.50 × 2,205.90
  4. Step 4: Simplify right side
    8,049.27x = 26,632,933.65
  5. Step 5: Solve for x
    x = 26,632,933.65/8,049.27
  6. Step 6: Final answer
    x = 3,308.74

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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.