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Finding the Fourth Proportional to 10,960.68, 16,419.15 and 6,790.80

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Solution

The fourth proportional to 10,960.68, 16,419.15 and 6,790.80 is: 10,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.68 : 16,419.15 = 6,790.80 : x
  2. Step 2: Convert to fraction form
    10,960.68/16,419.15 = 6,790.80/x
  3. Step 3: Cross multiply
    10,960.68x = 16,419.15 × 6,790.80
  4. Step 4: Simplify right side
    10,960.68x = 111,499,163.82
  5. Step 5: Solve for x
    x = 111,499,163.82/10,960.68
  6. Step 6: Final answer
    x = 10,172.65

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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.