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Finding the Fourth Proportional to 7,276.80, 10,906.38 and 5,185.56

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Solution

The fourth proportional to 7,276.80, 10,906.38 and 5,185.56 is: 7,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276.80 : 10,906.38 = 5,185.56 : x
  2. Step 2: Convert to fraction form
    7,276.80/10,906.38 = 5,185.56/x
  3. Step 3: Cross multiply
    7,276.80x = 10,906.38 × 5,185.56
  4. Step 4: Simplify right side
    7,276.80x = 56,555,687.87
  5. Step 5: Solve for x
    x = 56,555,687.87/7,276.80
  6. Step 6: Final answer
    x = 7,772.05

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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.