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Finding the Fourth Proportional to 10,701.72, 16,049.82 and 3,203.80

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Solution

The fourth proportional to 10,701.72, 16,049.82 and 3,203.80 is: 4,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.72 : 16,049.82 = 3,203.80 : x
  2. Step 2: Convert to fraction form
    10,701.72/16,049.82 = 3,203.80/x
  3. Step 3: Cross multiply
    10,701.72x = 16,049.82 × 3,203.80
  4. Step 4: Simplify right side
    10,701.72x = 51,420,413.32
  5. Step 5: Solve for x
    x = 51,420,413.32/10,701.72
  6. Step 6: Final answer
    x = 4,804.87

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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.