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Finding the Fourth Proportional to 11,413.72, 17,103.84 and 5,175.64

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Solution

The fourth proportional to 11,413.72, 17,103.84 and 5,175.64 is: 7,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.72 : 17,103.84 = 5,175.64 : x
  2. Step 2: Convert to fraction form
    11,413.72/17,103.84 = 5,175.64/x
  3. Step 3: Cross multiply
    11,413.72x = 17,103.84 × 5,175.64
  4. Step 4: Simplify right side
    11,413.72x = 88,523,318.46
  5. Step 5: Solve for x
    x = 88,523,318.46/11,413.72
  6. Step 6: Final answer
    x = 7,755.87

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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.