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Finding the Fourth Proportional to 10,986.28, 15,161.07 and 5,950.46

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Solution

The fourth proportional to 10,986.28, 15,161.07 and 5,950.46 is: 8,211.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.28 : 15,161.07 = 5,950.46 : x
  2. Step 2: Convert to fraction form
    10,986.28/15,161.07 = 5,950.46/x
  3. Step 3: Cross multiply
    10,986.28x = 15,161.07 × 5,950.46
  4. Step 4: Simplify right side
    10,986.28x = 90,215,310.84
  5. Step 5: Solve for x
    x = 90,215,310.84/10,986.28
  6. Step 6: Final answer
    x = 8,211.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.