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Finding the Fourth Proportional to 8,069.87, 12,104.92 and 2,146.86

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Solution

The fourth proportional to 8,069.87, 12,104.92 and 2,146.86 is: 3,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.87 : 12,104.92 = 2,146.86 : x
  2. Step 2: Convert to fraction form
    8,069.87/12,104.92 = 2,146.86/x
  3. Step 3: Cross multiply
    8,069.87x = 12,104.92 × 2,146.86
  4. Step 4: Simplify right side
    8,069.87x = 25,987,571.23
  5. Step 5: Solve for x
    x = 25,987,571.23/8,069.87
  6. Step 6: Final answer
    x = 3,220.32

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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.