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Finding the Fourth Proportional to 10,517.72, 14,514.22 and 5,802

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Solution

The fourth proportional to 10,517.72, 14,514.22 and 5,802 is: 8,006.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.72 : 14,514.22 = 5,802 : x
  2. Step 2: Convert to fraction form
    10,517.72/14,514.22 = 5,802/x
  3. Step 3: Cross multiply
    10,517.72x = 14,514.22 × 5,802
  4. Step 4: Simplify right side
    10,517.72x = 84,211,504.44
  5. Step 5: Solve for x
    x = 84,211,504.44/10,517.72
  6. Step 6: Final answer
    x = 8,006.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.