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Finding the Fourth Proportional to 7,638.49, 11,456.83 and 2,958.09

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Solution

The fourth proportional to 7,638.49, 11,456.83 and 2,958.09 is: 4,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.49 : 11,456.83 = 2,958.09 : x
  2. Step 2: Convert to fraction form
    7,638.49/11,456.83 = 2,958.09/x
  3. Step 3: Cross multiply
    7,638.49x = 11,456.83 × 2,958.09
  4. Step 4: Simplify right side
    7,638.49x = 33,890,334.25
  5. Step 5: Solve for x
    x = 33,890,334.25/7,638.49
  6. Step 6: Final answer
    x = 4,436.78

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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.