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Finding the Fourth Proportional to 8,241.58, 11,376.75 and 5,727.34

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Solution

The fourth proportional to 8,241.58, 11,376.75 and 5,727.34 is: 7,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.58 : 11,376.75 = 5,727.34 : x
  2. Step 2: Convert to fraction form
    8,241.58/11,376.75 = 5,727.34/x
  3. Step 3: Cross multiply
    8,241.58x = 11,376.75 × 5,727.34
  4. Step 4: Simplify right side
    8,241.58x = 65,158,515.35
  5. Step 5: Solve for x
    x = 65,158,515.35/8,241.58
  6. Step 6: Final answer
    x = 7,906.07

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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.