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Finding the Fourth Proportional to 11,227.12, 15,486.33 and 8,034.10

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Solution

The fourth proportional to 11,227.12, 15,486.33 and 8,034.10 is: 11,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.12 : 15,486.33 = 8,034.10 : x
  2. Step 2: Convert to fraction form
    11,227.12/15,486.33 = 8,034.10/x
  3. Step 3: Cross multiply
    11,227.12x = 15,486.33 × 8,034.10
  4. Step 4: Simplify right side
    11,227.12x = 124,418,723.85
  5. Step 5: Solve for x
    x = 124,418,723.85/11,227.12
  6. Step 6: Final answer
    x = 11,081.98

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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.