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Finding the Fourth Proportional to 8,352.26, 11,515.49 and 5,965.09

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Solution

The fourth proportional to 8,352.26, 11,515.49 and 5,965.09 is: 8,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.26 : 11,515.49 = 5,965.09 : x
  2. Step 2: Convert to fraction form
    8,352.26/11,515.49 = 5,965.09/x
  3. Step 3: Cross multiply
    8,352.26x = 11,515.49 × 5,965.09
  4. Step 4: Simplify right side
    8,352.26x = 68,690,934.24
  5. Step 5: Solve for x
    x = 68,690,934.24/8,352.26
  6. Step 6: Final answer
    x = 8,224.23

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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.