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Finding the Fourth Proportional to 8,149.86, 12,163.20 and 7,362.54

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Solution

The fourth proportional to 8,149.86, 12,163.20 and 7,362.54 is: 10,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.86 : 12,163.20 = 7,362.54 : x
  2. Step 2: Convert to fraction form
    8,149.86/12,163.20 = 7,362.54/x
  3. Step 3: Cross multiply
    8,149.86x = 12,163.20 × 7,362.54
  4. Step 4: Simplify right side
    8,149.86x = 89,552,046.53
  5. Step 5: Solve for x
    x = 89,552,046.53/8,149.86
  6. Step 6: Final answer
    x = 10,988.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.