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Finding the Fourth Proportional to 7,310.44, 10,940.14 and 5,978.80

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Solution

The fourth proportional to 7,310.44, 10,940.14 and 5,978.80 is: 8,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.44 : 10,940.14 = 5,978.80 : x
  2. Step 2: Convert to fraction form
    7,310.44/10,940.14 = 5,978.80/x
  3. Step 3: Cross multiply
    7,310.44x = 10,940.14 × 5,978.80
  4. Step 4: Simplify right side
    7,310.44x = 65,408,909.03
  5. Step 5: Solve for x
    x = 65,408,909.03/7,310.44
  6. Step 6: Final answer
    x = 8,947.33

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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.