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Finding the Fourth Proportional to 7,700.43, 10,626.61 and 4,163.66

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Solution

The fourth proportional to 7,700.43, 10,626.61 and 4,163.66 is: 5,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.43 : 10,626.61 = 4,163.66 : x
  2. Step 2: Convert to fraction form
    7,700.43/10,626.61 = 4,163.66/x
  3. Step 3: Cross multiply
    7,700.43x = 10,626.61 × 4,163.66
  4. Step 4: Simplify right side
    7,700.43x = 44,245,537.86
  5. Step 5: Solve for x
    x = 44,245,537.86/7,700.43
  6. Step 6: Final answer
    x = 5,745.85

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