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Finding the Fourth Proportional to 8,198.10, 12,296.19 and 2,275.44

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Solution

The fourth proportional to 8,198.10, 12,296.19 and 2,275.44 is: 3,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.10 : 12,296.19 = 2,275.44 : x
  2. Step 2: Convert to fraction form
    8,198.10/12,296.19 = 2,275.44/x
  3. Step 3: Cross multiply
    8,198.10x = 12,296.19 × 2,275.44
  4. Step 4: Simplify right side
    8,198.10x = 27,979,242.57
  5. Step 5: Solve for x
    x = 27,979,242.57/8,198.10
  6. Step 6: Final answer
    x = 3,412.89

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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.