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Finding the Fourth Proportional to 10,367.82, 15,554.07 and 3,794

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Solution

The fourth proportional to 10,367.82, 15,554.07 and 3,794 is: 5,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.82 : 15,554.07 = 3,794 : x
  2. Step 2: Convert to fraction form
    10,367.82/15,554.07 = 3,794/x
  3. Step 3: Cross multiply
    10,367.82x = 15,554.07 × 3,794
  4. Step 4: Simplify right side
    10,367.82x = 59,012,141.58
  5. Step 5: Solve for x
    x = 59,012,141.58/10,367.82
  6. Step 6: Final answer
    x = 5,691.86

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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.