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Finding the Fourth Proportional to 8,469.20, 12,694.80 and 4,083.80

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Solution

The fourth proportional to 8,469.20, 12,694.80 and 4,083.80 is: 6,121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.20 : 12,694.80 = 4,083.80 : x
  2. Step 2: Convert to fraction form
    8,469.20/12,694.80 = 4,083.80/x
  3. Step 3: Cross multiply
    8,469.20x = 12,694.80 × 4,083.80
  4. Step 4: Simplify right side
    8,469.20x = 51,843,024.24
  5. Step 5: Solve for x
    x = 51,843,024.24/8,469.20
  6. Step 6: Final answer
    x = 6,121.36

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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.