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Finding the Fourth Proportional to 7,891.03, 11,834.50 and 2,343.12

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Solution

The fourth proportional to 7,891.03, 11,834.50 and 2,343.12 is: 3,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.03 : 11,834.50 = 2,343.12 : x
  2. Step 2: Convert to fraction form
    7,891.03/11,834.50 = 2,343.12/x
  3. Step 3: Cross multiply
    7,891.03x = 11,834.50 × 2,343.12
  4. Step 4: Simplify right side
    7,891.03x = 27,729,594.47
  5. Step 5: Solve for x
    x = 27,729,594.47/7,891.03
  6. Step 6: Final answer
    x = 3,514.07

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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.