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Finding the Fourth Proportional to 7,954.52, 11,930.49 and 3,022.97

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Solution

The fourth proportional to 7,954.52, 11,930.49 and 3,022.97 is: 4,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.52 : 11,930.49 = 3,022.97 : x
  2. Step 2: Convert to fraction form
    7,954.52/11,930.49 = 3,022.97/x
  3. Step 3: Cross multiply
    7,954.52x = 11,930.49 × 3,022.97
  4. Step 4: Simplify right side
    7,954.52x = 36,065,453.70
  5. Step 5: Solve for x
    x = 36,065,453.70/7,954.52
  6. Step 6: Final answer
    x = 4,533.96

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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.