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Finding the Fourth Proportional to 8,589.09, 11,764.13 and 8,084.73

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Solution

The fourth proportional to 8,589.09, 11,764.13 and 8,084.73 is: 11,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.09 : 11,764.13 = 8,084.73 : x
  2. Step 2: Convert to fraction form
    8,589.09/11,764.13 = 8,084.73/x
  3. Step 3: Cross multiply
    8,589.09x = 11,764.13 × 8,084.73
  4. Step 4: Simplify right side
    8,589.09x = 95,109,774.31
  5. Step 5: Solve for x
    x = 95,109,774.31/8,589.09
  6. Step 6: Final answer
    x = 11,073.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.