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Finding the Fourth Proportional to 11,620.92, 17,433.84 and 3,829.56

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Solution

The fourth proportional to 11,620.92, 17,433.84 and 3,829.56 is: 5,745.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.92 : 17,433.84 = 3,829.56 : x
  2. Step 2: Convert to fraction form
    11,620.92/17,433.84 = 3,829.56/x
  3. Step 3: Cross multiply
    11,620.92x = 17,433.84 × 3,829.56
  4. Step 4: Simplify right side
    11,620.92x = 66,763,936.31
  5. Step 5: Solve for x
    x = 66,763,936.31/11,620.92
  6. Step 6: Final answer
    x = 5,745.15

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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.