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Finding the Fourth Proportional to 8,229.42, 11,361.17 and 5,208.55

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Solution

The fourth proportional to 8,229.42, 11,361.17 and 5,208.55 is: 7,190.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.42 : 11,361.17 = 5,208.55 : x
  2. Step 2: Convert to fraction form
    8,229.42/11,361.17 = 5,208.55/x
  3. Step 3: Cross multiply
    8,229.42x = 11,361.17 × 5,208.55
  4. Step 4: Simplify right side
    8,229.42x = 59,175,222.00
  5. Step 5: Solve for x
    x = 59,175,222.00/8,229.42
  6. Step 6: Final answer
    x = 7,190.69

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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.