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Finding the Fourth Proportional to 11,857.43, 17,781.95 and 5,197.16

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Solution

The fourth proportional to 11,857.43, 17,781.95 and 5,197.16 is: 7,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.43 : 17,781.95 = 5,197.16 : x
  2. Step 2: Convert to fraction form
    11,857.43/17,781.95 = 5,197.16/x
  3. Step 3: Cross multiply
    11,857.43x = 17,781.95 × 5,197.16
  4. Step 4: Simplify right side
    11,857.43x = 92,415,639.26
  5. Step 5: Solve for x
    x = 92,415,639.26/11,857.43
  6. Step 6: Final answer
    x = 7,793.90

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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.