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Finding the Fourth Proportional to 11,413.71, 17,120.57 and 3,093.73

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Solution

The fourth proportional to 11,413.71, 17,120.57 and 3,093.73 is: 4,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.71 : 17,120.57 = 3,093.73 : x
  2. Step 2: Convert to fraction form
    11,413.71/17,120.57 = 3,093.73/x
  3. Step 3: Cross multiply
    11,413.71x = 17,120.57 × 3,093.73
  4. Step 4: Simplify right side
    11,413.71x = 52,966,362.76
  5. Step 5: Solve for x
    x = 52,966,362.76/11,413.71
  6. Step 6: Final answer
    x = 4,640.59

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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.