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Finding the Fourth Proportional to 8,340.26, 11,517.22 and 5,361.29

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Solution

The fourth proportional to 8,340.26, 11,517.22 and 5,361.29 is: 7,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.26 : 11,517.22 = 5,361.29 : x
  2. Step 2: Convert to fraction form
    8,340.26/11,517.22 = 5,361.29/x
  3. Step 3: Cross multiply
    8,340.26x = 11,517.22 × 5,361.29
  4. Step 4: Simplify right side
    8,340.26x = 61,747,072.02
  5. Step 5: Solve for x
    x = 61,747,072.02/8,340.26
  6. Step 6: Final answer
    x = 7,403.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.