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Finding the Fourth Proportional to 10,170.74, 14,036.49 and 5,694.44

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Solution

The fourth proportional to 10,170.74, 14,036.49 and 5,694.44 is: 7,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,170.74 : 14,036.49 = 5,694.44 : x
  2. Step 2: Convert to fraction form
    10,170.74/14,036.49 = 5,694.44/x
  3. Step 3: Cross multiply
    10,170.74x = 14,036.49 × 5,694.44
  4. Step 4: Simplify right side
    10,170.74x = 79,929,879.93
  5. Step 5: Solve for x
    x = 79,929,879.93/10,170.74
  6. Step 6: Final answer
    x = 7,858.81

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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.