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Finding the Fourth Proportional to 6,906.64, 10,350.22 and 5,176.48

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Solution

The fourth proportional to 6,906.64, 10,350.22 and 5,176.48 is: 7,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.64 : 10,350.22 = 5,176.48 : x
  2. Step 2: Convert to fraction form
    6,906.64/10,350.22 = 5,176.48/x
  3. Step 3: Cross multiply
    6,906.64x = 10,350.22 × 5,176.48
  4. Step 4: Simplify right side
    6,906.64x = 53,577,706.83
  5. Step 5: Solve for x
    x = 53,577,706.83/6,906.64
  6. Step 6: Final answer
    x = 7,757.42

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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.