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Finding the Fourth Proportional to 8,206.26, 11,324.62 and 5,062.44

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Solution

The fourth proportional to 8,206.26, 11,324.62 and 5,062.44 is: 6,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.26 : 11,324.62 = 5,062.44 : x
  2. Step 2: Convert to fraction form
    8,206.26/11,324.62 = 5,062.44/x
  3. Step 3: Cross multiply
    8,206.26x = 11,324.62 × 5,062.44
  4. Step 4: Simplify right side
    8,206.26x = 57,330,209.27
  5. Step 5: Solve for x
    x = 57,330,209.27/8,206.26
  6. Step 6: Final answer
    x = 6,986.16

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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.