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Finding the Fourth Proportional to 11,684.85, 17,512.69 and 5,843.13

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Solution

The fourth proportional to 11,684.85, 17,512.69 and 5,843.13 is: 8,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.85 : 17,512.69 = 5,843.13 : x
  2. Step 2: Convert to fraction form
    11,684.85/17,512.69 = 5,843.13/x
  3. Step 3: Cross multiply
    11,684.85x = 17,512.69 × 5,843.13
  4. Step 4: Simplify right side
    11,684.85x = 102,328,895.10
  5. Step 5: Solve for x
    x = 102,328,895.10/11,684.85
  6. Step 6: Final answer
    x = 8,757.40

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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.