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Finding the Fourth Proportional to 8,138.75, 12,208.22 and 1,982.75

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Solution

The fourth proportional to 8,138.75, 12,208.22 and 1,982.75 is: 2,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.75 : 12,208.22 = 1,982.75 : x
  2. Step 2: Convert to fraction form
    8,138.75/12,208.22 = 1,982.75/x
  3. Step 3: Cross multiply
    8,138.75x = 12,208.22 × 1,982.75
  4. Step 4: Simplify right side
    8,138.75x = 24,205,848.21
  5. Step 5: Solve for x
    x = 24,205,848.21/8,138.75
  6. Step 6: Final answer
    x = 2,974.15

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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.