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Finding the Fourth Proportional to 7,728.08, 11,536.17 and 6,793.92

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Solution

The fourth proportional to 7,728.08, 11,536.17 and 6,793.92 is: 10,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.08 : 11,536.17 = 6,793.92 : x
  2. Step 2: Convert to fraction form
    7,728.08/11,536.17 = 6,793.92/x
  3. Step 3: Cross multiply
    7,728.08x = 11,536.17 × 6,793.92
  4. Step 4: Simplify right side
    7,728.08x = 78,375,816.09
  5. Step 5: Solve for x
    x = 78,375,816.09/7,728.08
  6. Step 6: Final answer
    x = 10,141.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.