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Finding the Fourth Proportional to 11,413.09, 17,122.89 and 6,737.36

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Solution

The fourth proportional to 11,413.09, 17,122.89 and 6,737.36 is: 10,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.09 : 17,122.89 = 6,737.36 : x
  2. Step 2: Convert to fraction form
    11,413.09/17,122.89 = 6,737.36/x
  3. Step 3: Cross multiply
    11,413.09x = 17,122.89 × 6,737.36
  4. Step 4: Simplify right side
    11,413.09x = 115,363,074.17
  5. Step 5: Solve for x
    x = 115,363,074.17/11,413.09
  6. Step 6: Final answer
    x = 10,107.97

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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.