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Finding the Fourth Proportional to 8,497.71, 12,744.39 and 2,651.31

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Solution

The fourth proportional to 8,497.71, 12,744.39 and 2,651.31 is: 3,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.71 : 12,744.39 = 2,651.31 : x
  2. Step 2: Convert to fraction form
    8,497.71/12,744.39 = 2,651.31/x
  3. Step 3: Cross multiply
    8,497.71x = 12,744.39 × 2,651.31
  4. Step 4: Simplify right side
    8,497.71x = 33,789,328.65
  5. Step 5: Solve for x
    x = 33,789,328.65/8,497.71
  6. Step 6: Final answer
    x = 3,976.29

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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.