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Finding the Fourth Proportional to 11,940.24, 16,472.43 and 7,456.21

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Solution

The fourth proportional to 11,940.24, 16,472.43 and 7,456.21 is: 10,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.24 : 16,472.43 = 7,456.21 : x
  2. Step 2: Convert to fraction form
    11,940.24/16,472.43 = 7,456.21/x
  3. Step 3: Cross multiply
    11,940.24x = 16,472.43 × 7,456.21
  4. Step 4: Simplify right side
    11,940.24x = 122,821,870.98
  5. Step 5: Solve for x
    x = 122,821,870.98/11,940.24
  6. Step 6: Final answer
    x = 10,286.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.