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Finding the Fourth Proportional to 7,891.84, 11,833.64 and 2,344.42

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Solution

The fourth proportional to 7,891.84, 11,833.64 and 2,344.42 is: 3,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.84 : 11,833.64 = 2,344.42 : x
  2. Step 2: Convert to fraction form
    7,891.84/11,833.64 = 2,344.42/x
  3. Step 3: Cross multiply
    7,891.84x = 11,833.64 × 2,344.42
  4. Step 4: Simplify right side
    7,891.84x = 27,743,022.29
  5. Step 5: Solve for x
    x = 27,743,022.29/7,891.84
  6. Step 6: Final answer
    x = 3,515.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.