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Finding the Fourth Proportional to 8,241.55, 11,367.14 and 5,723.66

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Solution

The fourth proportional to 8,241.55, 11,367.14 and 5,723.66 is: 7,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.55 : 11,367.14 = 5,723.66 : x
  2. Step 2: Convert to fraction form
    8,241.55/11,367.14 = 5,723.66/x
  3. Step 3: Cross multiply
    8,241.55x = 11,367.14 × 5,723.66
  4. Step 4: Simplify right side
    8,241.55x = 65,061,644.33
  5. Step 5: Solve for x
    x = 65,061,644.33/8,241.55
  6. Step 6: Final answer
    x = 7,894.35

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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.