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Finding the Fourth Proportional to 11,249.82, 15,524.64 and 6,213.99

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Solution

The fourth proportional to 11,249.82, 15,524.64 and 6,213.99 is: 8,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.82 : 15,524.64 = 6,213.99 : x
  2. Step 2: Convert to fraction form
    11,249.82/15,524.64 = 6,213.99/x
  3. Step 3: Cross multiply
    11,249.82x = 15,524.64 × 6,213.99
  4. Step 4: Simplify right side
    11,249.82x = 96,469,957.71
  5. Step 5: Solve for x
    x = 96,469,957.71/11,249.82
  6. Step 6: Final answer
    x = 8,575.24

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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.