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Finding the Fourth Proportional to 11,716.64, 17,578.56 and 4,791.68

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Solution

The fourth proportional to 11,716.64, 17,578.56 and 4,791.68 is: 7,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.64 : 17,578.56 = 4,791.68 : x
  2. Step 2: Convert to fraction form
    11,716.64/17,578.56 = 4,791.68/x
  3. Step 3: Cross multiply
    11,716.64x = 17,578.56 × 4,791.68
  4. Step 4: Simplify right side
    11,716.64x = 84,230,834.38
  5. Step 5: Solve for x
    x = 84,230,834.38/11,716.64
  6. Step 6: Final answer
    x = 7,188.99

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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.