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Finding the Fourth Proportional to 8,249.34, 11,383.97 and 4,472.43

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Solution

The fourth proportional to 8,249.34, 11,383.97 and 4,472.43 is: 6,171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.34 : 11,383.97 = 4,472.43 : x
  2. Step 2: Convert to fraction form
    8,249.34/11,383.97 = 4,472.43/x
  3. Step 3: Cross multiply
    8,249.34x = 11,383.97 × 4,472.43
  4. Step 4: Simplify right side
    8,249.34x = 50,913,986.58
  5. Step 5: Solve for x
    x = 50,913,986.58/8,249.34
  6. Step 6: Final answer
    x = 6,171.89

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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.