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Finding the Fourth Proportional to 10,986.06, 15,163.26 and 8,591.31

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Solution

The fourth proportional to 10,986.06, 15,163.26 and 8,591.31 is: 11,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.06 : 15,163.26 = 8,591.31 : x
  2. Step 2: Convert to fraction form
    10,986.06/15,163.26 = 8,591.31/x
  3. Step 3: Cross multiply
    10,986.06x = 15,163.26 × 8,591.31
  4. Step 4: Simplify right side
    10,986.06x = 130,272,267.27
  5. Step 5: Solve for x
    x = 130,272,267.27/10,986.06
  6. Step 6: Final answer
    x = 11,857.96

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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.