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Finding the Fourth Proportional to 8,086.98, 12,131.67 and 2,891.64

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Solution

The fourth proportional to 8,086.98, 12,131.67 and 2,891.64 is: 4,337.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.98 : 12,131.67 = 2,891.64 : x
  2. Step 2: Convert to fraction form
    8,086.98/12,131.67 = 2,891.64/x
  3. Step 3: Cross multiply
    8,086.98x = 12,131.67 × 2,891.64
  4. Step 4: Simplify right side
    8,086.98x = 35,080,422.24
  5. Step 5: Solve for x
    x = 35,080,422.24/8,086.98
  6. Step 6: Final answer
    x = 4,337.89

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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.