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Finding the Fourth Proportional to 10,589.90, 15,884.84 and 3,194.60

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Solution

The fourth proportional to 10,589.90, 15,884.84 and 3,194.60 is: 4,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.90 : 15,884.84 = 3,194.60 : x
  2. Step 2: Convert to fraction form
    10,589.90/15,884.84 = 3,194.60/x
  3. Step 3: Cross multiply
    10,589.90x = 15,884.84 × 3,194.60
  4. Step 4: Simplify right side
    10,589.90x = 50,745,638.43
  5. Step 5: Solve for x
    x = 50,745,638.43/10,589.90
  6. Step 6: Final answer
    x = 4,791.89

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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.