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Finding the Fourth Proportional to 7,449.94, 11,179.36 and 2,769.16

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Solution

The fourth proportional to 7,449.94, 11,179.36 and 2,769.16 is: 4,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.94 : 11,179.36 = 2,769.16 : x
  2. Step 2: Convert to fraction form
    7,449.94/11,179.36 = 2,769.16/x
  3. Step 3: Cross multiply
    7,449.94x = 11,179.36 × 2,769.16
  4. Step 4: Simplify right side
    7,449.94x = 30,957,436.54
  5. Step 5: Solve for x
    x = 30,957,436.54/7,449.94
  6. Step 6: Final answer
    x = 4,155.39

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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.