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Finding the Fourth Proportional to 11,198.12, 15,453.77 and 6,418.97

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Solution

The fourth proportional to 11,198.12, 15,453.77 and 6,418.97 is: 8,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.12 : 15,453.77 = 6,418.97 : x
  2. Step 2: Convert to fraction form
    11,198.12/15,453.77 = 6,418.97/x
  3. Step 3: Cross multiply
    11,198.12x = 15,453.77 × 6,418.97
  4. Step 4: Simplify right side
    11,198.12x = 99,197,176.65
  5. Step 5: Solve for x
    x = 99,197,176.65/11,198.12
  6. Step 6: Final answer
    x = 8,858.38

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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.