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Finding the Fourth Proportional to 8,201.76, 12,295.36 and 3,006.44

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Solution

The fourth proportional to 8,201.76, 12,295.36 and 3,006.44 is: 4,506.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.76 : 12,295.36 = 3,006.44 : x
  2. Step 2: Convert to fraction form
    8,201.76/12,295.36 = 3,006.44/x
  3. Step 3: Cross multiply
    8,201.76x = 12,295.36 × 3,006.44
  4. Step 4: Simplify right side
    8,201.76x = 36,965,262.12
  5. Step 5: Solve for x
    x = 36,965,262.12/8,201.76
  6. Step 6: Final answer
    x = 4,506.99

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Why These Related Problems?

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