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Finding the Fourth Proportional to 10,589.67, 15,883.29 and 2,799.09

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Solution

The fourth proportional to 10,589.67, 15,883.29 and 2,799.09 is: 4,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.67 : 15,883.29 = 2,799.09 : x
  2. Step 2: Convert to fraction form
    10,589.67/15,883.29 = 2,799.09/x
  3. Step 3: Cross multiply
    10,589.67x = 15,883.29 × 2,799.09
  4. Step 4: Simplify right side
    10,589.67x = 44,458,758.21
  5. Step 5: Solve for x
    x = 44,458,758.21/10,589.67
  6. Step 6: Final answer
    x = 4,198.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.