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Finding the Fourth Proportional to 7,893.87, 11,841 and 3,735.82

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Solution

The fourth proportional to 7,893.87, 11,841 and 3,735.82 is: 5,603.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.87 : 11,841 = 3,735.82 : x
  2. Step 2: Convert to fraction form
    7,893.87/11,841 = 3,735.82/x
  3. Step 3: Cross multiply
    7,893.87x = 11,841 × 3,735.82
  4. Step 4: Simplify right side
    7,893.87x = 44,235,844.62
  5. Step 5: Solve for x
    x = 44,235,844.62/7,893.87
  6. Step 6: Final answer
    x = 5,603.82

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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.