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Finding the Fourth Proportional to 10,194.53, 14,067.27 and 5,717.32

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Solution

The fourth proportional to 10,194.53, 14,067.27 and 5,717.32 is: 7,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.53 : 14,067.27 = 5,717.32 : x
  2. Step 2: Convert to fraction form
    10,194.53/14,067.27 = 5,717.32/x
  3. Step 3: Cross multiply
    10,194.53x = 14,067.27 × 5,717.32
  4. Step 4: Simplify right side
    10,194.53x = 80,427,048.95
  5. Step 5: Solve for x
    x = 80,427,048.95/10,194.53
  6. Step 6: Final answer
    x = 7,889.24

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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.