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Finding the Fourth Proportional to 7,891.40, 11,838.92 and 2,344.62

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Solution

The fourth proportional to 7,891.40, 11,838.92 and 2,344.62 is: 3,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.40 : 11,838.92 = 2,344.62 : x
  2. Step 2: Convert to fraction form
    7,891.40/11,838.92 = 2,344.62/x
  3. Step 3: Cross multiply
    7,891.40x = 11,838.92 × 2,344.62
  4. Step 4: Simplify right side
    7,891.40x = 27,757,774.47
  5. Step 5: Solve for x
    x = 27,757,774.47/7,891.40
  6. Step 6: Final answer
    x = 3,517.47

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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.