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Finding the Fourth Proportional to 8,198.94, 12,297.02 and 2,276.42

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Solution

The fourth proportional to 8,198.94, 12,297.02 and 2,276.42 is: 3,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.94 : 12,297.02 = 2,276.42 : x
  2. Step 2: Convert to fraction form
    8,198.94/12,297.02 = 2,276.42/x
  3. Step 3: Cross multiply
    8,198.94x = 12,297.02 × 2,276.42
  4. Step 4: Simplify right side
    8,198.94x = 27,993,178.57
  5. Step 5: Solve for x
    x = 27,993,178.57/8,198.94
  6. Step 6: Final answer
    x = 3,414.24

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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.