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Finding the Fourth Proportional to 7,520.80, 10,378.62 and 4,163.64

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Solution

The fourth proportional to 7,520.80, 10,378.62 and 4,163.64 is: 5,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.80 : 10,378.62 = 4,163.64 : x
  2. Step 2: Convert to fraction form
    7,520.80/10,378.62 = 4,163.64/x
  3. Step 3: Cross multiply
    7,520.80x = 10,378.62 × 4,163.64
  4. Step 4: Simplify right side
    7,520.80x = 43,212,837.38
  5. Step 5: Solve for x
    x = 43,212,837.38/7,520.80
  6. Step 6: Final answer
    x = 5,745.78

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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.