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Finding the Fourth Proportional to 7,183.68, 9,912.39 and 4,039.26

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Solution

The fourth proportional to 7,183.68, 9,912.39 and 4,039.26 is: 5,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.68 : 9,912.39 = 4,039.26 : x
  2. Step 2: Convert to fraction form
    7,183.68/9,912.39 = 4,039.26/x
  3. Step 3: Cross multiply
    7,183.68x = 9,912.39 × 4,039.26
  4. Step 4: Simplify right side
    7,183.68x = 40,038,720.43
  5. Step 5: Solve for x
    x = 40,038,720.43/7,183.68
  6. Step 6: Final answer
    x = 5,573.57

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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.