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Finding the Fourth Proportional to 7,240.27, 9,991.41 and 4,255.42

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Solution

The fourth proportional to 7,240.27, 9,991.41 and 4,255.42 is: 5,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.27 : 9,991.41 = 4,255.42 : x
  2. Step 2: Convert to fraction form
    7,240.27/9,991.41 = 4,255.42/x
  3. Step 3: Cross multiply
    7,240.27x = 9,991.41 × 4,255.42
  4. Step 4: Simplify right side
    7,240.27x = 42,517,645.94
  5. Step 5: Solve for x
    x = 42,517,645.94/7,240.27
  6. Step 6: Final answer
    x = 5,872.38

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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.