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Finding the Fourth Proportional to 6,238.20, 8,596.08 and 5,936.88

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Solution

The fourth proportional to 6,238.20, 8,596.08 and 5,936.88 is: 8,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.20 : 8,596.08 = 5,936.88 : x
  2. Step 2: Convert to fraction form
    6,238.20/8,596.08 = 5,936.88/x
  3. Step 3: Cross multiply
    6,238.20x = 8,596.08 × 5,936.88
  4. Step 4: Simplify right side
    6,238.20x = 51,033,895.43
  5. Step 5: Solve for x
    x = 51,033,895.43/6,238.20
  6. Step 6: Final answer
    x = 8,180.87

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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.