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Finding the Fourth Proportional to 10,540.90, 15,806.49 and 3,143.44

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Solution

The fourth proportional to 10,540.90, 15,806.49 and 3,143.44 is: 4,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.90 : 15,806.49 = 3,143.44 : x
  2. Step 2: Convert to fraction form
    10,540.90/15,806.49 = 3,143.44/x
  3. Step 3: Cross multiply
    10,540.90x = 15,806.49 × 3,143.44
  4. Step 4: Simplify right side
    10,540.90x = 49,686,752.93
  5. Step 5: Solve for x
    x = 49,686,752.93/10,540.90
  6. Step 6: Final answer
    x = 4,713.71

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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.