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Finding the Fourth Proportional to 8,110.90, 12,164.96 and 2,266.16

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Solution

The fourth proportional to 8,110.90, 12,164.96 and 2,266.16 is: 3,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.90 : 12,164.96 = 2,266.16 : x
  2. Step 2: Convert to fraction form
    8,110.90/12,164.96 = 2,266.16/x
  3. Step 3: Cross multiply
    8,110.90x = 12,164.96 × 2,266.16
  4. Step 4: Simplify right side
    8,110.90x = 27,567,745.75
  5. Step 5: Solve for x
    x = 27,567,745.75/8,110.90
  6. Step 6: Final answer
    x = 3,398.85

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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.