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Finding the Fourth Proportional to 11,249.49, 15,524.41 and 6,213.83

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Solution

The fourth proportional to 11,249.49, 15,524.41 and 6,213.83 is: 8,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.49 : 15,524.41 = 6,213.83 : x
  2. Step 2: Convert to fraction form
    11,249.49/15,524.41 = 6,213.83/x
  3. Step 3: Cross multiply
    11,249.49x = 15,524.41 × 6,213.83
  4. Step 4: Simplify right side
    11,249.49x = 96,466,044.59
  5. Step 5: Solve for x
    x = 96,466,044.59/11,249.49
  6. Step 6: Final answer
    x = 8,575.15

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