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Finding the Fourth Proportional to 11,413.86, 17,109.12 and 7,716.44

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Solution

The fourth proportional to 11,413.86, 17,109.12 and 7,716.44 is: 11,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.86 : 17,109.12 = 7,716.44 : x
  2. Step 2: Convert to fraction form
    11,413.86/17,109.12 = 7,716.44/x
  3. Step 3: Cross multiply
    11,413.86x = 17,109.12 × 7,716.44
  4. Step 4: Simplify right side
    11,413.86x = 132,021,497.93
  5. Step 5: Solve for x
    x = 132,021,497.93/11,413.86
  6. Step 6: Final answer
    x = 11,566.77

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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.