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Finding the Fourth Proportional to 10,411.43, 15,616.26 and 5,413.82

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Solution

The fourth proportional to 10,411.43, 15,616.26 and 5,413.82 is: 8,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.43 : 15,616.26 = 5,413.82 : x
  2. Step 2: Convert to fraction form
    10,411.43/15,616.26 = 5,413.82/x
  3. Step 3: Cross multiply
    10,411.43x = 15,616.26 × 5,413.82
  4. Step 4: Simplify right side
    10,411.43x = 84,543,542.63
  5. Step 5: Solve for x
    x = 84,543,542.63/10,411.43
  6. Step 6: Final answer
    x = 8,120.27

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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.