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Finding the Fourth Proportional to 8,067.87, 12,083.99 and 6,205.28

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Solution

The fourth proportional to 8,067.87, 12,083.99 and 6,205.28 is: 9,294.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.87 : 12,083.99 = 6,205.28 : x
  2. Step 2: Convert to fraction form
    8,067.87/12,083.99 = 6,205.28/x
  3. Step 3: Cross multiply
    8,067.87x = 12,083.99 × 6,205.28
  4. Step 4: Simplify right side
    8,067.87x = 74,984,450.02
  5. Step 5: Solve for x
    x = 74,984,450.02/8,067.87
  6. Step 6: Final answer
    x = 9,294.21

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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.