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Finding the Fourth Proportional to 10,540.82, 15,806.52 and 3,143.29

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Solution

The fourth proportional to 10,540.82, 15,806.52 and 3,143.29 is: 4,713.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.82 : 15,806.52 = 3,143.29 : x
  2. Step 2: Convert to fraction form
    10,540.82/15,806.52 = 3,143.29/x
  3. Step 3: Cross multiply
    10,540.82x = 15,806.52 × 3,143.29
  4. Step 4: Simplify right side
    10,540.82x = 49,684,476.25
  5. Step 5: Solve for x
    x = 49,684,476.25/10,540.82
  6. Step 6: Final answer
    x = 4,713.53

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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.