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Finding the Fourth Proportional to 10,986.42, 15,161.22 and 5,950.62

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Solution

The fourth proportional to 10,986.42, 15,161.22 and 5,950.62 is: 8,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.42 : 15,161.22 = 5,950.62 : x
  2. Step 2: Convert to fraction form
    10,986.42/15,161.22 = 5,950.62/x
  3. Step 3: Cross multiply
    10,986.42x = 15,161.22 × 5,950.62
  4. Step 4: Simplify right side
    10,986.42x = 90,218,667.11
  5. Step 5: Solve for x
    x = 90,218,667.11/10,986.42
  6. Step 6: Final answer
    x = 8,211.84

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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.