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Finding the Fourth Proportional to 11,745.14, 17,614.02 and 3,845.84

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Solution

The fourth proportional to 11,745.14, 17,614.02 and 3,845.84 is: 5,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.14 : 17,614.02 = 3,845.84 : x
  2. Step 2: Convert to fraction form
    11,745.14/17,614.02 = 3,845.84/x
  3. Step 3: Cross multiply
    11,745.14x = 17,614.02 × 3,845.84
  4. Step 4: Simplify right side
    11,745.14x = 67,740,702.68
  5. Step 5: Solve for x
    x = 67,740,702.68/11,745.14
  6. Step 6: Final answer
    x = 5,767.55

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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.