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Finding the Fourth Proportional to 10,517.73, 14,514.03 and 5,801.91

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Solution

The fourth proportional to 10,517.73, 14,514.03 and 5,801.91 is: 8,006.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.73 : 14,514.03 = 5,801.91 : x
  2. Step 2: Convert to fraction form
    10,517.73/14,514.03 = 5,801.91/x
  3. Step 3: Cross multiply
    10,517.73x = 14,514.03 × 5,801.91
  4. Step 4: Simplify right side
    10,517.73x = 84,209,095.80
  5. Step 5: Solve for x
    x = 84,209,095.80/10,517.73
  6. Step 6: Final answer
    x = 8,006.39

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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.