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Finding the Fourth Proportional to 8,159.49, 12,238.02 and 2,612.27

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Solution

The fourth proportional to 8,159.49, 12,238.02 and 2,612.27 is: 3,918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.49 : 12,238.02 = 2,612.27 : x
  2. Step 2: Convert to fraction form
    8,159.49/12,238.02 = 2,612.27/x
  3. Step 3: Cross multiply
    8,159.49x = 12,238.02 × 2,612.27
  4. Step 4: Simplify right side
    8,159.49x = 31,969,043.10
  5. Step 5: Solve for x
    x = 31,969,043.10/8,159.49
  6. Step 6: Final answer
    x = 3,918.02

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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.