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Finding the Fourth Proportional to 6,728.27, 10,093.94 and 2,048.94

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Solution

The fourth proportional to 6,728.27, 10,093.94 and 2,048.94 is: 3,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.27 : 10,093.94 = 2,048.94 : x
  2. Step 2: Convert to fraction form
    6,728.27/10,093.94 = 2,048.94/x
  3. Step 3: Cross multiply
    6,728.27x = 10,093.94 × 2,048.94
  4. Step 4: Simplify right side
    6,728.27x = 20,681,877.42
  5. Step 5: Solve for x
    x = 20,681,877.42/6,728.27
  6. Step 6: Final answer
    x = 3,073.88

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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.