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Finding the Fourth Proportional to 7,463.70, 11,195.97 and 2,269.17

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Solution

The fourth proportional to 7,463.70, 11,195.97 and 2,269.17 is: 3,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.70 : 11,195.97 = 2,269.17 : x
  2. Step 2: Convert to fraction form
    7,463.70/11,195.97 = 2,269.17/x
  3. Step 3: Cross multiply
    7,463.70x = 11,195.97 × 2,269.17
  4. Step 4: Simplify right side
    7,463.70x = 25,405,559.24
  5. Step 5: Solve for x
    x = 25,405,559.24/7,463.70
  6. Step 6: Final answer
    x = 3,403.88

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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.