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Finding the Fourth Proportional to 8,138.32, 12,217.56 and 8,100.88

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Solution

The fourth proportional to 8,138.32, 12,217.56 and 8,100.88 is: 12,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.32 : 12,217.56 = 8,100.88 : x
  2. Step 2: Convert to fraction form
    8,138.32/12,217.56 = 8,100.88/x
  3. Step 3: Cross multiply
    8,138.32x = 12,217.56 × 8,100.88
  4. Step 4: Simplify right side
    8,138.32x = 98,972,987.45
  5. Step 5: Solve for x
    x = 98,972,987.45/8,138.32
  6. Step 6: Final answer
    x = 12,161.35

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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.