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Finding the Fourth Proportional to 8,108.90, 12,161.96 and 2,264.16

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Solution

The fourth proportional to 8,108.90, 12,161.96 and 2,264.16 is: 3,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.90 : 12,161.96 = 2,264.16 : x
  2. Step 2: Convert to fraction form
    8,108.90/12,161.96 = 2,264.16/x
  3. Step 3: Cross multiply
    8,108.90x = 12,161.96 × 2,264.16
  4. Step 4: Simplify right side
    8,108.90x = 27,536,623.35
  5. Step 5: Solve for x
    x = 27,536,623.35/8,108.90
  6. Step 6: Final answer
    x = 3,395.85

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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.