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Finding the Fourth Proportional to 7,324.82, 10,105.83 and 4,137.67

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Solution

The fourth proportional to 7,324.82, 10,105.83 and 4,137.67 is: 5,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.82 : 10,105.83 = 4,137.67 : x
  2. Step 2: Convert to fraction form
    7,324.82/10,105.83 = 4,137.67/x
  3. Step 3: Cross multiply
    7,324.82x = 10,105.83 × 4,137.67
  4. Step 4: Simplify right side
    7,324.82x = 41,814,589.62
  5. Step 5: Solve for x
    x = 41,814,589.62/7,324.82
  6. Step 6: Final answer
    x = 5,708.62

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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.