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Finding the Fourth Proportional to 10,540.14, 15,810.20 and 3,425.82

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Solution

The fourth proportional to 10,540.14, 15,810.20 and 3,425.82 is: 5,138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.14 : 15,810.20 = 3,425.82 : x
  2. Step 2: Convert to fraction form
    10,540.14/15,810.20 = 3,425.82/x
  3. Step 3: Cross multiply
    10,540.14x = 15,810.20 × 3,425.82
  4. Step 4: Simplify right side
    10,540.14x = 54,162,899.36
  5. Step 5: Solve for x
    x = 54,162,899.36/10,540.14
  6. Step 6: Final answer
    x = 5,138.73

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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.