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Finding the Fourth Proportional to 7,891.44, 11,836 and 2,343.75

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Solution

The fourth proportional to 7,891.44, 11,836 and 2,343.75 is: 3,515.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.44 : 11,836 = 2,343.75 : x
  2. Step 2: Convert to fraction form
    7,891.44/11,836 = 2,343.75/x
  3. Step 3: Cross multiply
    7,891.44x = 11,836 × 2,343.75
  4. Step 4: Simplify right side
    7,891.44x = 27,740,625
  5. Step 5: Solve for x
    x = 27,740,625/7,891.44
  6. Step 6: Final answer
    x = 3,515.28

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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.