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Finding the Fourth Proportional to 8,249.24, 11,383.79 and 4,472.42

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Solution

The fourth proportional to 8,249.24, 11,383.79 and 4,472.42 is: 6,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.24 : 11,383.79 = 4,472.42 : x
  2. Step 2: Convert to fraction form
    8,249.24/11,383.79 = 4,472.42/x
  3. Step 3: Cross multiply
    8,249.24x = 11,383.79 × 4,472.42
  4. Step 4: Simplify right side
    8,249.24x = 50,913,035.95
  5. Step 5: Solve for x
    x = 50,913,035.95/8,249.24
  6. Step 6: Final answer
    x = 6,171.84

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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.