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Finding the Fourth Proportional to 11,462.66, 17,183.05 and 3,666.14

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Solution

The fourth proportional to 11,462.66, 17,183.05 and 3,666.14 is: 5,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.66 : 17,183.05 = 3,666.14 : x
  2. Step 2: Convert to fraction form
    11,462.66/17,183.05 = 3,666.14/x
  3. Step 3: Cross multiply
    11,462.66x = 17,183.05 × 3,666.14
  4. Step 4: Simplify right side
    11,462.66x = 62,995,371.85
  5. Step 5: Solve for x
    x = 62,995,371.85/11,462.66
  6. Step 6: Final answer
    x = 5,495.71

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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.