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Finding the Fourth Proportional to 10,194.80, 14,067.80 and 5,717.52

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Solution

The fourth proportional to 10,194.80, 14,067.80 and 5,717.52 is: 7,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.80 : 14,067.80 = 5,717.52 : x
  2. Step 2: Convert to fraction form
    10,194.80/14,067.80 = 5,717.52/x
  3. Step 3: Cross multiply
    10,194.80x = 14,067.80 × 5,717.52
  4. Step 4: Simplify right side
    10,194.80x = 80,432,927.86
  5. Step 5: Solve for x
    x = 80,432,927.86/10,194.80
  6. Step 6: Final answer
    x = 7,889.60

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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.