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Finding the Fourth Proportional to 7,463.53, 11,195.26 and 2,198.65

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Solution

The fourth proportional to 7,463.53, 11,195.26 and 2,198.65 is: 3,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.53 : 11,195.26 = 2,198.65 : x
  2. Step 2: Convert to fraction form
    7,463.53/11,195.26 = 2,198.65/x
  3. Step 3: Cross multiply
    7,463.53x = 11,195.26 × 2,198.65
  4. Step 4: Simplify right side
    7,463.53x = 24,614,424.91
  5. Step 5: Solve for x
    x = 24,614,424.91/7,463.53
  6. Step 6: Final answer
    x = 3,297.96

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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.