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Finding the Fourth Proportional to 10,193.66, 14,067.72 and 5,943.18

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Solution

The fourth proportional to 10,193.66, 14,067.72 and 5,943.18 is: 8,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.66 : 14,067.72 = 5,943.18 : x
  2. Step 2: Convert to fraction form
    10,193.66/14,067.72 = 5,943.18/x
  3. Step 3: Cross multiply
    10,193.66x = 14,067.72 × 5,943.18
  4. Step 4: Simplify right side
    10,193.66x = 83,606,992.15
  5. Step 5: Solve for x
    x = 83,606,992.15/10,193.66
  6. Step 6: Final answer
    x = 8,201.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.