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Finding the Fourth Proportional to 11,444.73, 17,164.74 and 4,049.43

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Solution

The fourth proportional to 11,444.73, 17,164.74 and 4,049.43 is: 6,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.73 : 17,164.74 = 4,049.43 : x
  2. Step 2: Convert to fraction form
    11,444.73/17,164.74 = 4,049.43/x
  3. Step 3: Cross multiply
    11,444.73x = 17,164.74 × 4,049.43
  4. Step 4: Simplify right side
    11,444.73x = 69,507,413.10
  5. Step 5: Solve for x
    x = 69,507,413.10/11,444.73
  6. Step 6: Final answer
    x = 6,073.31

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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.