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Finding the Fourth Proportional to 8,250.96, 11,380.56 and 5,734.32

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Solution

The fourth proportional to 8,250.96, 11,380.56 and 5,734.32 is: 7,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.96 : 11,380.56 = 5,734.32 : x
  2. Step 2: Convert to fraction form
    8,250.96/11,380.56 = 5,734.32/x
  3. Step 3: Cross multiply
    8,250.96x = 11,380.56 × 5,734.32
  4. Step 4: Simplify right side
    8,250.96x = 65,259,772.82
  5. Step 5: Solve for x
    x = 65,259,772.82/8,250.96
  6. Step 6: Final answer
    x = 7,909.36

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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.