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Finding the Fourth Proportional to 8,424.65, 12,638.60 and 2,581.31

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Solution

The fourth proportional to 8,424.65, 12,638.60 and 2,581.31 is: 3,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.65 : 12,638.60 = 2,581.31 : x
  2. Step 2: Convert to fraction form
    8,424.65/12,638.60 = 2,581.31/x
  3. Step 3: Cross multiply
    8,424.65x = 12,638.60 × 2,581.31
  4. Step 4: Simplify right side
    8,424.65x = 32,624,131.66
  5. Step 5: Solve for x
    x = 32,624,131.66/8,424.65
  6. Step 6: Final answer
    x = 3,872.46

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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.