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Finding the Fourth Proportional to 6,835.44, 10,229.40 and 5,906.64

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Solution

The fourth proportional to 6,835.44, 10,229.40 and 5,906.64 is: 8,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.44 : 10,229.40 = 5,906.64 : x
  2. Step 2: Convert to fraction form
    6,835.44/10,229.40 = 5,906.64/x
  3. Step 3: Cross multiply
    6,835.44x = 10,229.40 × 5,906.64
  4. Step 4: Simplify right side
    6,835.44x = 60,421,383.22
  5. Step 5: Solve for x
    x = 60,421,383.22/6,835.44
  6. Step 6: Final answer
    x = 8,839.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.