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Finding the Fourth Proportional to 8,166.72, 11,271.15 and 7,944.33

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Solution

The fourth proportional to 8,166.72, 11,271.15 and 7,944.33 is: 10,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.72 : 11,271.15 = 7,944.33 : x
  2. Step 2: Convert to fraction form
    8,166.72/11,271.15 = 7,944.33/x
  3. Step 3: Cross multiply
    8,166.72x = 11,271.15 × 7,944.33
  4. Step 4: Simplify right side
    8,166.72x = 89,541,735.08
  5. Step 5: Solve for x
    x = 89,541,735.08/8,166.72
  6. Step 6: Final answer
    x = 10,964.22

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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.