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Finding the Fourth Proportional to 6,839.16, 10,254.83 and 4,067.77

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Solution

The fourth proportional to 6,839.16, 10,254.83 and 4,067.77 is: 6,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.16 : 10,254.83 = 4,067.77 : x
  2. Step 2: Convert to fraction form
    6,839.16/10,254.83 = 4,067.77/x
  3. Step 3: Cross multiply
    6,839.16x = 10,254.83 × 4,067.77
  4. Step 4: Simplify right side
    6,839.16x = 41,714,243.85
  5. Step 5: Solve for x
    x = 41,714,243.85/6,839.16
  6. Step 6: Final answer
    x = 6,099.32

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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.