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Finding the Fourth Proportional to 8,585.76, 12,871.20 and 3,324.44

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Solution

The fourth proportional to 8,585.76, 12,871.20 and 3,324.44 is: 4,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.76 : 12,871.20 = 3,324.44 : x
  2. Step 2: Convert to fraction form
    8,585.76/12,871.20 = 3,324.44/x
  3. Step 3: Cross multiply
    8,585.76x = 12,871.20 × 3,324.44
  4. Step 4: Simplify right side
    8,585.76x = 42,789,532.13
  5. Step 5: Solve for x
    x = 42,789,532.13/8,585.76
  6. Step 6: Final answer
    x = 4,983.78

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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.