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Finding the Fourth Proportional to 7,183.96, 10,772.12 and 2,797

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Solution

The fourth proportional to 7,183.96, 10,772.12 and 2,797 is: 4,194.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.96 : 10,772.12 = 2,797 : x
  2. Step 2: Convert to fraction form
    7,183.96/10,772.12 = 2,797/x
  3. Step 3: Cross multiply
    7,183.96x = 10,772.12 × 2,797
  4. Step 4: Simplify right side
    7,183.96x = 30,129,619.64
  5. Step 5: Solve for x
    x = 30,129,619.64/7,183.96
  6. Step 6: Final answer
    x = 4,194.01

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Why These Related Problems?

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