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Finding the Fourth Proportional to 8,120.66, 11,189.34 and 7,226.82

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Solution

The fourth proportional to 8,120.66, 11,189.34 and 7,226.82 is: 9,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.66 : 11,189.34 = 7,226.82 : x
  2. Step 2: Convert to fraction form
    8,120.66/11,189.34 = 7,226.82/x
  3. Step 3: Cross multiply
    8,120.66x = 11,189.34 × 7,226.82
  4. Step 4: Simplify right side
    8,120.66x = 80,863,346.10
  5. Step 5: Solve for x
    x = 80,863,346.10/8,120.66
  6. Step 6: Final answer
    x = 9,957.74

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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.