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Finding the Fourth Proportional to 10,810.32, 16,217.16 and 3,413.40

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Solution

The fourth proportional to 10,810.32, 16,217.16 and 3,413.40 is: 5,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.32 : 16,217.16 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    10,810.32/16,217.16 = 3,413.40/x
  3. Step 3: Cross multiply
    10,810.32x = 16,217.16 × 3,413.40
  4. Step 4: Simplify right side
    10,810.32x = 55,355,653.94
  5. Step 5: Solve for x
    x = 55,355,653.94/10,810.32
  6. Step 6: Final answer
    x = 5,120.63

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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.