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Finding the Fourth Proportional to 10,517.54, 14,514.17 and 5,801.78

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Solution

The fourth proportional to 10,517.54, 14,514.17 and 5,801.78 is: 8,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.54 : 14,514.17 = 5,801.78 : x
  2. Step 2: Convert to fraction form
    10,517.54/14,514.17 = 5,801.78/x
  3. Step 3: Cross multiply
    10,517.54x = 14,514.17 × 5,801.78
  4. Step 4: Simplify right side
    10,517.54x = 84,207,992.21
  5. Step 5: Solve for x
    x = 84,207,992.21/10,517.54
  6. Step 6: Final answer
    x = 8,006.44

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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.