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Finding the Fourth Proportional to 11,643.11, 17,464.27 and 3,745.61

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Solution

The fourth proportional to 11,643.11, 17,464.27 and 3,745.61 is: 5,618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.11 : 17,464.27 = 3,745.61 : x
  2. Step 2: Convert to fraction form
    11,643.11/17,464.27 = 3,745.61/x
  3. Step 3: Cross multiply
    11,643.11x = 17,464.27 × 3,745.61
  4. Step 4: Simplify right side
    11,643.11x = 65,414,344.35
  5. Step 5: Solve for x
    x = 65,414,344.35/11,643.11
  6. Step 6: Final answer
    x = 5,618.29

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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.