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Finding the Fourth Proportional to 7,860.85, 11,791.03 and 2,314.30

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Solution

The fourth proportional to 7,860.85, 11,791.03 and 2,314.30 is: 3,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.85 : 11,791.03 = 2,314.30 : x
  2. Step 2: Convert to fraction form
    7,860.85/11,791.03 = 2,314.30/x
  3. Step 3: Cross multiply
    7,860.85x = 11,791.03 × 2,314.30
  4. Step 4: Simplify right side
    7,860.85x = 27,287,942.01
  5. Step 5: Solve for x
    x = 27,287,942.01/7,860.85
  6. Step 6: Final answer
    x = 3,471.37

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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.