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Finding the Fourth Proportional to 6,682.37, 10,023.51 and 5,222.75

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Solution

The fourth proportional to 6,682.37, 10,023.51 and 5,222.75 is: 7,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.37 : 10,023.51 = 5,222.75 : x
  2. Step 2: Convert to fraction form
    6,682.37/10,023.51 = 5,222.75/x
  3. Step 3: Cross multiply
    6,682.37x = 10,023.51 × 5,222.75
  4. Step 4: Simplify right side
    6,682.37x = 52,350,286.85
  5. Step 5: Solve for x
    x = 52,350,286.85/6,682.37
  6. Step 6: Final answer
    x = 7,834.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.