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Finding the Fourth Proportional to 7,794.68, 11,694.90 and 2,867.54

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Solution

The fourth proportional to 7,794.68, 11,694.90 and 2,867.54 is: 4,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.68 : 11,694.90 = 2,867.54 : x
  2. Step 2: Convert to fraction form
    7,794.68/11,694.90 = 2,867.54/x
  3. Step 3: Cross multiply
    7,794.68x = 11,694.90 × 2,867.54
  4. Step 4: Simplify right side
    7,794.68x = 33,535,593.55
  5. Step 5: Solve for x
    x = 33,535,593.55/7,794.68
  6. Step 6: Final answer
    x = 4,302.37

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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.