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Finding the Fourth Proportional to 7,893.82, 11,838.88 and 3,212.56

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Solution

The fourth proportional to 7,893.82, 11,838.88 and 3,212.56 is: 4,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.82 : 11,838.88 = 3,212.56 : x
  2. Step 2: Convert to fraction form
    7,893.82/11,838.88 = 3,212.56/x
  3. Step 3: Cross multiply
    7,893.82x = 11,838.88 × 3,212.56
  4. Step 4: Simplify right side
    7,893.82x = 38,033,112.33
  5. Step 5: Solve for x
    x = 38,033,112.33/7,893.82
  6. Step 6: Final answer
    x = 4,818.09

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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.