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Finding the Fourth Proportional to 11,734.09, 17,602.86 and 3,413.02

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Solution

The fourth proportional to 11,734.09, 17,602.86 and 3,413.02 is: 5,120.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.09 : 17,602.86 = 3,413.02 : x
  2. Step 2: Convert to fraction form
    11,734.09/17,602.86 = 3,413.02/x
  3. Step 3: Cross multiply
    11,734.09x = 17,602.86 × 3,413.02
  4. Step 4: Simplify right side
    11,734.09x = 60,078,913.24
  5. Step 5: Solve for x
    x = 60,078,913.24/11,734.09
  6. Step 6: Final answer
    x = 5,120.03

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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.