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Finding the Fourth Proportional to 10,650.69, 15,974.82 and 9,086.99

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Solution

The fourth proportional to 10,650.69, 15,974.82 and 9,086.99 is: 13,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.69 : 15,974.82 = 9,086.99 : x
  2. Step 2: Convert to fraction form
    10,650.69/15,974.82 = 9,086.99/x
  3. Step 3: Cross multiply
    10,650.69x = 15,974.82 × 9,086.99
  4. Step 4: Simplify right side
    10,650.69x = 145,162,949.72
  5. Step 5: Solve for x
    x = 145,162,949.72/10,650.69
  6. Step 6: Final answer
    x = 13,629.44

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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.