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Finding the Fourth Proportional to 10,367.46, 15,514.02 and 5,963.31

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Solution

The fourth proportional to 10,367.46, 15,514.02 and 5,963.31 is: 8,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.46 : 15,514.02 = 5,963.31 : x
  2. Step 2: Convert to fraction form
    10,367.46/15,514.02 = 5,963.31/x
  3. Step 3: Cross multiply
    10,367.46x = 15,514.02 × 5,963.31
  4. Step 4: Simplify right side
    10,367.46x = 92,514,910.61
  5. Step 5: Solve for x
    x = 92,514,910.61/10,367.46
  6. Step 6: Final answer
    x = 8,923.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.