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Finding the Fourth Proportional to 7,891.43, 11,834.07 and 2,958.38

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Solution

The fourth proportional to 7,891.43, 11,834.07 and 2,958.38 is: 4,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.43 : 11,834.07 = 2,958.38 : x
  2. Step 2: Convert to fraction form
    7,891.43/11,834.07 = 2,958.38/x
  3. Step 3: Cross multiply
    7,891.43x = 11,834.07 × 2,958.38
  4. Step 4: Simplify right side
    7,891.43x = 35,009,602.04
  5. Step 5: Solve for x
    x = 35,009,602.04/7,891.43
  6. Step 6: Final answer
    x = 4,436.41

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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.