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Finding the Fourth Proportional to 11,716.16, 17,575.20 and 3,924.96

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Solution

The fourth proportional to 11,716.16, 17,575.20 and 3,924.96 is: 5,887.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.16 : 17,575.20 = 3,924.96 : x
  2. Step 2: Convert to fraction form
    11,716.16/17,575.20 = 3,924.96/x
  3. Step 3: Cross multiply
    11,716.16x = 17,575.20 × 3,924.96
  4. Step 4: Simplify right side
    11,716.16x = 68,981,956.99
  5. Step 5: Solve for x
    x = 68,981,956.99/11,716.16
  6. Step 6: Final answer
    x = 5,887.76

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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.