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Finding the Fourth Proportional to 8,514.56, 11,744.89 and 5,992.22

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Solution

The fourth proportional to 8,514.56, 11,744.89 and 5,992.22 is: 8,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514.56 : 11,744.89 = 5,992.22 : x
  2. Step 2: Convert to fraction form
    8,514.56/11,744.89 = 5,992.22/x
  3. Step 3: Cross multiply
    8,514.56x = 11,744.89 × 5,992.22
  4. Step 4: Simplify right side
    8,514.56x = 70,377,964.76
  5. Step 5: Solve for x
    x = 70,377,964.76/8,514.56
  6. Step 6: Final answer
    x = 8,265.60

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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.