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Finding the Fourth Proportional to 8,201.39, 12,302.98 and 3,007.27

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Solution

The fourth proportional to 8,201.39, 12,302.98 and 3,007.27 is: 4,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.39 : 12,302.98 = 3,007.27 : x
  2. Step 2: Convert to fraction form
    8,201.39/12,302.98 = 3,007.27/x
  3. Step 3: Cross multiply
    8,201.39x = 12,302.98 × 3,007.27
  4. Step 4: Simplify right side
    8,201.39x = 36,998,344.39
  5. Step 5: Solve for x
    x = 36,998,344.39/8,201.39
  6. Step 6: Final answer
    x = 4,511.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.