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Finding the Fourth Proportional to 10,194.98, 14,067.94 and 5,717.80

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Solution

The fourth proportional to 10,194.98, 14,067.94 and 5,717.80 is: 7,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.98 : 14,067.94 = 5,717.80 : x
  2. Step 2: Convert to fraction form
    10,194.98/14,067.94 = 5,717.80/x
  3. Step 3: Cross multiply
    10,194.98x = 14,067.94 × 5,717.80
  4. Step 4: Simplify right side
    10,194.98x = 80,437,667.33
  5. Step 5: Solve for x
    x = 80,437,667.33/10,194.98
  6. Step 6: Final answer
    x = 7,889.93

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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.