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Finding the Fourth Proportional to 8,261.22, 12,391.89 and 2,105.22

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Solution

The fourth proportional to 8,261.22, 12,391.89 and 2,105.22 is: 3,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.22 : 12,391.89 = 2,105.22 : x
  2. Step 2: Convert to fraction form
    8,261.22/12,391.89 = 2,105.22/x
  3. Step 3: Cross multiply
    8,261.22x = 12,391.89 × 2,105.22
  4. Step 4: Simplify right side
    8,261.22x = 26,087,654.67
  5. Step 5: Solve for x
    x = 26,087,654.67/8,261.22
  6. Step 6: Final answer
    x = 3,157.85

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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.