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Finding the Fourth Proportional to 11,616.96, 17,428.32 and 3,825.84

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Solution

The fourth proportional to 11,616.96, 17,428.32 and 3,825.84 is: 5,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.96 : 17,428.32 = 3,825.84 : x
  2. Step 2: Convert to fraction form
    11,616.96/17,428.32 = 3,825.84/x
  3. Step 3: Cross multiply
    11,616.96x = 17,428.32 × 3,825.84
  4. Step 4: Simplify right side
    11,616.96x = 66,677,963.79
  5. Step 5: Solve for x
    x = 66,677,963.79/11,616.96
  6. Step 6: Final answer
    x = 5,739.71

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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.