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Finding the Fourth Proportional to 8,249.46, 11,384.34 and 4,472.62

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Solution

The fourth proportional to 8,249.46, 11,384.34 and 4,472.62 is: 6,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.46 : 11,384.34 = 4,472.62 : x
  2. Step 2: Convert to fraction form
    8,249.46/11,384.34 = 4,472.62/x
  3. Step 3: Cross multiply
    8,249.46x = 11,384.34 × 4,472.62
  4. Step 4: Simplify right side
    8,249.46x = 50,917,747.49
  5. Step 5: Solve for x
    x = 50,917,747.49/8,249.46
  6. Step 6: Final answer
    x = 6,172.25

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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.