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Finding the Fourth Proportional to 10,986.96, 15,162.06 and 5,951.19

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Solution

The fourth proportional to 10,986.96, 15,162.06 and 5,951.19 is: 8,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.96 : 15,162.06 = 5,951.19 : x
  2. Step 2: Convert to fraction form
    10,986.96/15,162.06 = 5,951.19/x
  3. Step 3: Cross multiply
    10,986.96x = 15,162.06 × 5,951.19
  4. Step 4: Simplify right side
    10,986.96x = 90,232,379.03
  5. Step 5: Solve for x
    x = 90,232,379.03/10,986.96
  6. Step 6: Final answer
    x = 8,212.68

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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.