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Finding the Fourth Proportional to 7,700.25, 10,626.38 and 4,163.49

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Solution

The fourth proportional to 7,700.25, 10,626.38 and 4,163.49 is: 5,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.25 : 10,626.38 = 4,163.49 : x
  2. Step 2: Convert to fraction form
    7,700.25/10,626.38 = 4,163.49/x
  3. Step 3: Cross multiply
    7,700.25x = 10,626.38 × 4,163.49
  4. Step 4: Simplify right side
    7,700.25x = 44,242,806.05
  5. Step 5: Solve for x
    x = 44,242,806.05/7,700.25
  6. Step 6: Final answer
    x = 5,745.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.