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Finding the Fourth Proportional to 6,819.66, 10,231.31 and 3,900.02

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Solution

The fourth proportional to 6,819.66, 10,231.31 and 3,900.02 is: 5,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.66 : 10,231.31 = 3,900.02 : x
  2. Step 2: Convert to fraction form
    6,819.66/10,231.31 = 3,900.02/x
  3. Step 3: Cross multiply
    6,819.66x = 10,231.31 × 3,900.02
  4. Step 4: Simplify right side
    6,819.66x = 39,902,272.22
  5. Step 5: Solve for x
    x = 39,902,272.22/6,819.66
  6. Step 6: Final answer
    x = 5,851.06

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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.