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Finding the Fourth Proportional to 8,261.20, 12,416.10 and 8,115.40

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Solution

The fourth proportional to 8,261.20, 12,416.10 and 8,115.40 is: 12,196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.20 : 12,416.10 = 8,115.40 : x
  2. Step 2: Convert to fraction form
    8,261.20/12,416.10 = 8,115.40/x
  3. Step 3: Cross multiply
    8,261.20x = 12,416.10 × 8,115.40
  4. Step 4: Simplify right side
    8,261.20x = 100,761,617.94
  5. Step 5: Solve for x
    x = 100,761,617.94/8,261.20
  6. Step 6: Final answer
    x = 12,196.97

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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.