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Finding the Fourth Proportional to 7,927.38, 11,891.07 and 2,380.71

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Solution

The fourth proportional to 7,927.38, 11,891.07 and 2,380.71 is: 3,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.38 : 11,891.07 = 2,380.71 : x
  2. Step 2: Convert to fraction form
    7,927.38/11,891.07 = 2,380.71/x
  3. Step 3: Cross multiply
    7,927.38x = 11,891.07 × 2,380.71
  4. Step 4: Simplify right side
    7,927.38x = 28,309,189.26
  5. Step 5: Solve for x
    x = 28,309,189.26/7,927.38
  6. Step 6: Final answer
    x = 3,571.07

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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.