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Finding the Fourth Proportional to 11,470.26, 17,161.92 and 6,792.78

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Solution

The fourth proportional to 11,470.26, 17,161.92 and 6,792.78 is: 10,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.26 : 17,161.92 = 6,792.78 : x
  2. Step 2: Convert to fraction form
    11,470.26/17,161.92 = 6,792.78/x
  3. Step 3: Cross multiply
    11,470.26x = 17,161.92 × 6,792.78
  4. Step 4: Simplify right side
    11,470.26x = 116,577,146.94
  5. Step 5: Solve for x
    x = 116,577,146.94/11,470.26
  6. Step 6: Final answer
    x = 10,163.43

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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.