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Finding the Fourth Proportional to 7,183.38, 10,767.08 and 3,022.16

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Solution

The fourth proportional to 7,183.38, 10,767.08 and 3,022.16 is: 4,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.38 : 10,767.08 = 3,022.16 : x
  2. Step 2: Convert to fraction form
    7,183.38/10,767.08 = 3,022.16/x
  3. Step 3: Cross multiply
    7,183.38x = 10,767.08 × 3,022.16
  4. Step 4: Simplify right side
    7,183.38x = 32,539,838.49
  5. Step 5: Solve for x
    x = 32,539,838.49/7,183.38
  6. Step 6: Final answer
    x = 4,529.88

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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.