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Finding the Fourth Proportional to 7,463.10, 11,195.96 and 2,463.97

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Solution

The fourth proportional to 7,463.10, 11,195.96 and 2,463.97 is: 3,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,463.10 : 11,195.96 = 2,463.97 : x
  2. Step 2: Convert to fraction form
    7,463.10/11,195.96 = 2,463.97/x
  3. Step 3: Cross multiply
    7,463.10x = 11,195.96 × 2,463.97
  4. Step 4: Simplify right side
    7,463.10x = 27,586,509.56
  5. Step 5: Solve for x
    x = 27,586,509.56/7,463.10
  6. Step 6: Final answer
    x = 3,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.