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Finding the Fourth Proportional to 11,311.35, 16,967.10 and 3,413.90

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Solution

The fourth proportional to 11,311.35, 16,967.10 and 3,413.90 is: 5,120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.35 : 16,967.10 = 3,413.90 : x
  2. Step 2: Convert to fraction form
    11,311.35/16,967.10 = 3,413.90/x
  3. Step 3: Cross multiply
    11,311.35x = 16,967.10 × 3,413.90
  4. Step 4: Simplify right side
    11,311.35x = 57,923,897.85
  5. Step 5: Solve for x
    x = 57,923,897.85/11,311.35
  6. Step 6: Final answer
    x = 5,120.87

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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.