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Finding the Fourth Proportional to 8,171.10, 11,268.63 and 5,815.26

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Solution

The fourth proportional to 8,171.10, 11,268.63 and 5,815.26 is: 8,019.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.10 : 11,268.63 = 5,815.26 : x
  2. Step 2: Convert to fraction form
    8,171.10/11,268.63 = 5,815.26/x
  3. Step 3: Cross multiply
    8,171.10x = 11,268.63 × 5,815.26
  4. Step 4: Simplify right side
    8,171.10x = 65,530,013.29
  5. Step 5: Solve for x
    x = 65,530,013.29/8,171.10
  6. Step 6: Final answer
    x = 8,019.73

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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.