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Finding the Fourth Proportional to 11,684.16, 17,523.41 and 3,891.96

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Solution

The fourth proportional to 11,684.16, 17,523.41 and 3,891.96 is: 5,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.16 : 17,523.41 = 3,891.96 : x
  2. Step 2: Convert to fraction form
    11,684.16/17,523.41 = 3,891.96/x
  3. Step 3: Cross multiply
    11,684.16x = 17,523.41 × 3,891.96
  4. Step 4: Simplify right side
    11,684.16x = 68,200,391.32
  5. Step 5: Solve for x
    x = 68,200,391.32/11,684.16
  6. Step 6: Final answer
    x = 5,837.00

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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.