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Finding the Fourth Proportional to 10,891.69, 15,033.26 and 6,413.81

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Solution

The fourth proportional to 10,891.69, 15,033.26 and 6,413.81 is: 8,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.69 : 15,033.26 = 6,413.81 : x
  2. Step 2: Convert to fraction form
    10,891.69/15,033.26 = 6,413.81/x
  3. Step 3: Cross multiply
    10,891.69x = 15,033.26 × 6,413.81
  4. Step 4: Simplify right side
    10,891.69x = 96,420,414.19
  5. Step 5: Solve for x
    x = 96,420,414.19/10,891.69
  6. Step 6: Final answer
    x = 8,852.66

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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.