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Finding the Fourth Proportional to 11,832.90, 17,743.14 and 3,511.77

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Solution

The fourth proportional to 11,832.90, 17,743.14 and 3,511.77 is: 5,265.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.90 : 17,743.14 = 3,511.77 : x
  2. Step 2: Convert to fraction form
    11,832.90/17,743.14 = 3,511.77/x
  3. Step 3: Cross multiply
    11,832.90x = 17,743.14 × 3,511.77
  4. Step 4: Simplify right side
    11,832.90x = 62,309,826.76
  5. Step 5: Solve for x
    x = 62,309,826.76/11,832.90
  6. Step 6: Final answer
    x = 5,265.81

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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.