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Finding the Fourth Proportional to 11,834.69, 17,755.44 and 3,829.28

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Solution

The fourth proportional to 11,834.69, 17,755.44 and 3,829.28 is: 5,745.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.69 : 17,755.44 = 3,829.28 : x
  2. Step 2: Convert to fraction form
    11,834.69/17,755.44 = 3,829.28/x
  3. Step 3: Cross multiply
    11,834.69x = 17,755.44 × 3,829.28
  4. Step 4: Simplify right side
    11,834.69x = 67,990,462.51
  5. Step 5: Solve for x
    x = 67,990,462.51/11,834.69
  6. Step 6: Final answer
    x = 5,745.02

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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.