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Finding the Fourth Proportional to 11,413.86, 15,751.15 and 6,378.09

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Solution

The fourth proportional to 11,413.86, 15,751.15 and 6,378.09 is: 8,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.86 : 15,751.15 = 6,378.09 : x
  2. Step 2: Convert to fraction form
    11,413.86/15,751.15 = 6,378.09/x
  3. Step 3: Cross multiply
    11,413.86x = 15,751.15 × 6,378.09
  4. Step 4: Simplify right side
    11,413.86x = 100,462,236.36
  5. Step 5: Solve for x
    x = 100,462,236.36/11,413.86
  6. Step 6: Final answer
    x = 8,801.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.