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Finding the Fourth Proportional to 11,863.29, 17,796.57 and 4,071.09

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Solution

The fourth proportional to 11,863.29, 17,796.57 and 4,071.09 is: 6,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.29 : 17,796.57 = 4,071.09 : x
  2. Step 2: Convert to fraction form
    11,863.29/17,796.57 = 4,071.09/x
  3. Step 3: Cross multiply
    11,863.29x = 17,796.57 × 4,071.09
  4. Step 4: Simplify right side
    11,863.29x = 72,451,438.16
  5. Step 5: Solve for x
    x = 72,451,438.16/11,863.29
  6. Step 6: Final answer
    x = 6,107.20

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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.