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Finding the Fourth Proportional to 10,786.63, 16,183.84 and 3,767.68

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Solution

The fourth proportional to 10,786.63, 16,183.84 and 3,767.68 is: 5,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.63 : 16,183.84 = 3,767.68 : x
  2. Step 2: Convert to fraction form
    10,786.63/16,183.84 = 3,767.68/x
  3. Step 3: Cross multiply
    10,786.63x = 16,183.84 × 3,767.68
  4. Step 4: Simplify right side
    10,786.63x = 60,975,530.29
  5. Step 5: Solve for x
    x = 60,975,530.29/10,786.63
  6. Step 6: Final answer
    x = 5,652.88

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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.