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Finding the Fourth Proportional to 7,463.43, 11,196.57 and 2,198.43

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Solution

The fourth proportional to 7,463.43, 11,196.57 and 2,198.43 is: 3,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.43 : 11,196.57 = 2,198.43 : x
  2. Step 2: Convert to fraction form
    7,463.43/11,196.57 = 2,198.43/x
  3. Step 3: Cross multiply
    7,463.43x = 11,196.57 × 2,198.43
  4. Step 4: Simplify right side
    7,463.43x = 24,614,875.39
  5. Step 5: Solve for x
    x = 24,614,875.39/7,463.43
  6. Step 6: Final answer
    x = 3,298.06

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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.