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Finding the Fourth Proportional to 7,463.80, 11,191.84 and 2,198.13

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Solution

The fourth proportional to 7,463.80, 11,191.84 and 2,198.13 is: 3,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.80 : 11,191.84 = 2,198.13 : x
  2. Step 2: Convert to fraction form
    7,463.80/11,191.84 = 2,198.13/x
  3. Step 3: Cross multiply
    7,463.80x = 11,191.84 × 2,198.13
  4. Step 4: Simplify right side
    7,463.80x = 24,601,071.79
  5. Step 5: Solve for x
    x = 24,601,071.79/7,463.80
  6. Step 6: Final answer
    x = 3,296.05

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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.