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Finding the Fourth Proportional to 6,839.66, 10,282.44 and 5,396.24

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Solution

The fourth proportional to 6,839.66, 10,282.44 and 5,396.24 is: 8,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.66 : 10,282.44 = 5,396.24 : x
  2. Step 2: Convert to fraction form
    6,839.66/10,282.44 = 5,396.24/x
  3. Step 3: Cross multiply
    6,839.66x = 10,282.44 × 5,396.24
  4. Step 4: Simplify right side
    6,839.66x = 55,486,514.03
  5. Step 5: Solve for x
    x = 55,486,514.03/6,839.66
  6. Step 6: Final answer
    x = 8,112.47

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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.