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Finding the Fourth Proportional to 11,620.60, 17,431.44 and 3,829.48

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Solution

The fourth proportional to 11,620.60, 17,431.44 and 3,829.48 is: 5,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.60 : 17,431.44 = 3,829.48 : x
  2. Step 2: Convert to fraction form
    11,620.60/17,431.44 = 3,829.48/x
  3. Step 3: Cross multiply
    11,620.60x = 17,431.44 × 3,829.48
  4. Step 4: Simplify right side
    11,620.60x = 66,753,350.85
  5. Step 5: Solve for x
    x = 66,753,350.85/11,620.60
  6. Step 6: Final answer
    x = 5,744.40

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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.