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Finding the Fourth Proportional to 11,578.68, 17,369.64 and 3,785.94

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Solution

The fourth proportional to 11,578.68, 17,369.64 and 3,785.94 is: 5,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.68 : 17,369.64 = 3,785.94 : x
  2. Step 2: Convert to fraction form
    11,578.68/17,369.64 = 3,785.94/x
  3. Step 3: Cross multiply
    11,578.68x = 17,369.64 × 3,785.94
  4. Step 4: Simplify right side
    11,578.68x = 65,760,414.86
  5. Step 5: Solve for x
    x = 65,760,414.86/11,578.68
  6. Step 6: Final answer
    x = 5,679.44

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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.