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Finding the Fourth Proportional to 6,728.65, 10,093.49 and 2,049.05

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Solution

The fourth proportional to 6,728.65, 10,093.49 and 2,049.05 is: 3,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.65 : 10,093.49 = 2,049.05 : x
  2. Step 2: Convert to fraction form
    6,728.65/10,093.49 = 2,049.05/x
  3. Step 3: Cross multiply
    6,728.65x = 10,093.49 × 2,049.05
  4. Step 4: Simplify right side
    6,728.65x = 20,682,088.36
  5. Step 5: Solve for x
    x = 20,682,088.36/6,728.65
  6. Step 6: Final answer
    x = 3,073.74

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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.