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Finding the Fourth Proportional to 8,138.13, 12,207.20 and 1,982.13

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Solution

The fourth proportional to 8,138.13, 12,207.20 and 1,982.13 is: 2,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.13 : 12,207.20 = 1,982.13 : x
  2. Step 2: Convert to fraction form
    8,138.13/12,207.20 = 1,982.13/x
  3. Step 3: Cross multiply
    8,138.13x = 12,207.20 × 1,982.13
  4. Step 4: Simplify right side
    8,138.13x = 24,196,257.34
  5. Step 5: Solve for x
    x = 24,196,257.34/8,138.13
  6. Step 6: Final answer
    x = 2,973.20

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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.