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Finding the Fourth Proportional to 11,249.42, 15,523.92 and 6,214.12

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Solution

The fourth proportional to 11,249.42, 15,523.92 and 6,214.12 is: 8,575.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.42 : 15,523.92 = 6,214.12 : x
  2. Step 2: Convert to fraction form
    11,249.42/15,523.92 = 6,214.12/x
  3. Step 3: Cross multiply
    11,249.42x = 15,523.92 × 6,214.12
  4. Step 4: Simplify right side
    11,249.42x = 96,467,462.94
  5. Step 5: Solve for x
    x = 96,467,462.94/11,249.42
  6. Step 6: Final answer
    x = 8,575.33

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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.