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Finding the Fourth Proportional to 10,590.10, 15,885.27 and 3,194.63

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Solution

The fourth proportional to 10,590.10, 15,885.27 and 3,194.63 is: 4,791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.10 : 15,885.27 = 3,194.63 : x
  2. Step 2: Convert to fraction form
    10,590.10/15,885.27 = 3,194.63/x
  3. Step 3: Cross multiply
    10,590.10x = 15,885.27 × 3,194.63
  4. Step 4: Simplify right side
    10,590.10x = 50,747,500.03
  5. Step 5: Solve for x
    x = 50,747,500.03/10,590.10
  6. Step 6: Final answer
    x = 4,791.97

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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.