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Finding the Fourth Proportional to 10,757.14, 16,136.70 and 4,183.82

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Solution

The fourth proportional to 10,757.14, 16,136.70 and 4,183.82 is: 6,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.14 : 16,136.70 = 4,183.82 : x
  2. Step 2: Convert to fraction form
    10,757.14/16,136.70 = 4,183.82/x
  3. Step 3: Cross multiply
    10,757.14x = 16,136.70 × 4,183.82
  4. Step 4: Simplify right side
    10,757.14x = 67,513,035.87
  5. Step 5: Solve for x
    x = 67,513,035.87/10,757.14
  6. Step 6: Final answer
    x = 6,276.12

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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.