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Finding the Fourth Proportional to 6,728.46, 10,097.92 and 4,662.92

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Solution

The fourth proportional to 6,728.46, 10,097.92 and 4,662.92 is: 6,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.46 : 10,097.92 = 4,662.92 : x
  2. Step 2: Convert to fraction form
    6,728.46/10,097.92 = 4,662.92/x
  3. Step 3: Cross multiply
    6,728.46x = 10,097.92 × 4,662.92
  4. Step 4: Simplify right side
    6,728.46x = 47,085,793.13
  5. Step 5: Solve for x
    x = 47,085,793.13/6,728.46
  6. Step 6: Final answer
    x = 6,998.00

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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.