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Finding the Fourth Proportional to 8,253.22, 11,394.62 and 5,734.52

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Solution

The fourth proportional to 8,253.22, 11,394.62 and 5,734.52 is: 7,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.22 : 11,394.62 = 5,734.52 : x
  2. Step 2: Convert to fraction form
    8,253.22/11,394.62 = 5,734.52/x
  3. Step 3: Cross multiply
    8,253.22x = 11,394.62 × 5,734.52
  4. Step 4: Simplify right side
    8,253.22x = 65,342,676.28
  5. Step 5: Solve for x
    x = 65,342,676.28/8,253.22
  6. Step 6: Final answer
    x = 7,917.23

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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.