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Finding the Fourth Proportional to 12,054.92, 18,078.54 and 3,845

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Solution

The fourth proportional to 12,054.92, 18,078.54 and 3,845 is: 5,766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.92 : 18,078.54 = 3,845 : x
  2. Step 2: Convert to fraction form
    12,054.92/18,078.54 = 3,845/x
  3. Step 3: Cross multiply
    12,054.92x = 18,078.54 × 3,845
  4. Step 4: Simplify right side
    12,054.92x = 69,511,986.30
  5. Step 5: Solve for x
    x = 69,511,986.30/12,054.92
  6. Step 6: Final answer
    x = 5,766.28

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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.