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Finding the Fourth Proportional to 11,648.46, 17,470.86 and 3,857.27

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Solution

The fourth proportional to 11,648.46, 17,470.86 and 3,857.27 is: 5,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.46 : 17,470.86 = 3,857.27 : x
  2. Step 2: Convert to fraction form
    11,648.46/17,470.86 = 3,857.27/x
  3. Step 3: Cross multiply
    11,648.46x = 17,470.86 × 3,857.27
  4. Step 4: Simplify right side
    11,648.46x = 67,389,853.15
  5. Step 5: Solve for x
    x = 67,389,853.15/11,648.46
  6. Step 6: Final answer
    x = 5,785.30

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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.