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Finding the Fourth Proportional to 11,648.49, 17,472.32 and 3,857.23

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Solution

The fourth proportional to 11,648.49, 17,472.32 and 3,857.23 is: 5,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.49 : 17,472.32 = 3,857.23 : x
  2. Step 2: Convert to fraction form
    11,648.49/17,472.32 = 3,857.23/x
  3. Step 3: Cross multiply
    11,648.49x = 17,472.32 × 3,857.23
  4. Step 4: Simplify right side
    11,648.49x = 67,394,756.87
  5. Step 5: Solve for x
    x = 67,394,756.87/11,648.49
  6. Step 6: Final answer
    x = 5,785.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.