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Finding the Fourth Proportional to 8,514.43, 11,755.31 and 5,830.14

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Solution

The fourth proportional to 8,514.43, 11,755.31 and 5,830.14 is: 8,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.43 : 11,755.31 = 5,830.14 : x
  2. Step 2: Convert to fraction form
    8,514.43/11,755.31 = 5,830.14/x
  3. Step 3: Cross multiply
    8,514.43x = 11,755.31 × 5,830.14
  4. Step 4: Simplify right side
    8,514.43x = 68,535,015.12
  5. Step 5: Solve for x
    x = 68,535,015.12/8,514.43
  6. Step 6: Final answer
    x = 8,049.28

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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.