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Finding the Fourth Proportional to 7,860.91, 11,791.20 and 2,314.12

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Solution

The fourth proportional to 7,860.91, 11,791.20 and 2,314.12 is: 3,471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.91 : 11,791.20 = 2,314.12 : x
  2. Step 2: Convert to fraction form
    7,860.91/11,791.20 = 2,314.12/x
  3. Step 3: Cross multiply
    7,860.91x = 11,791.20 × 2,314.12
  4. Step 4: Simplify right side
    7,860.91x = 27,286,251.74
  5. Step 5: Solve for x
    x = 27,286,251.74/7,860.91
  6. Step 6: Final answer
    x = 3,471.13

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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.