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Finding the Fourth Proportional to 8,201.28, 12,239.16 and 7,325.76

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Solution

The fourth proportional to 8,201.28, 12,239.16 and 7,325.76 is: 10,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.28 : 12,239.16 = 7,325.76 : x
  2. Step 2: Convert to fraction form
    8,201.28/12,239.16 = 7,325.76/x
  3. Step 3: Cross multiply
    8,201.28x = 12,239.16 × 7,325.76
  4. Step 4: Simplify right side
    8,201.28x = 89,661,148.76
  5. Step 5: Solve for x
    x = 89,661,148.76/8,201.28
  6. Step 6: Final answer
    x = 10,932.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.