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Finding the Fourth Proportional to 8,218.26, 11,329.20 and 6,540.30

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Solution

The fourth proportional to 8,218.26, 11,329.20 and 6,540.30 is: 9,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.26 : 11,329.20 = 6,540.30 : x
  2. Step 2: Convert to fraction form
    8,218.26/11,329.20 = 6,540.30/x
  3. Step 3: Cross multiply
    8,218.26x = 11,329.20 × 6,540.30
  4. Step 4: Simplify right side
    8,218.26x = 74,096,366.76
  5. Step 5: Solve for x
    x = 74,096,366.76/8,218.26
  6. Step 6: Final answer
    x = 9,016.07

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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.