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Finding the Fourth Proportional to 7,424.61, 10,246.24 and 4,067.56

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Solution

The fourth proportional to 7,424.61, 10,246.24 and 4,067.56 is: 5,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424.61 : 10,246.24 = 4,067.56 : x
  2. Step 2: Convert to fraction form
    7,424.61/10,246.24 = 4,067.56/x
  3. Step 3: Cross multiply
    7,424.61x = 10,246.24 × 4,067.56
  4. Step 4: Simplify right side
    7,424.61x = 41,677,195.97
  5. Step 5: Solve for x
    x = 41,677,195.97/7,424.61
  6. Step 6: Final answer
    x = 5,613.39

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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.