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Finding the Fourth Proportional to 8,424.50, 12,637.26 and 2,581.16

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Solution

The fourth proportional to 8,424.50, 12,637.26 and 2,581.16 is: 3,871.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.50 : 12,637.26 = 2,581.16 : x
  2. Step 2: Convert to fraction form
    8,424.50/12,637.26 = 2,581.16/x
  3. Step 3: Cross multiply
    8,424.50x = 12,637.26 × 2,581.16
  4. Step 4: Simplify right side
    8,424.50x = 32,618,790.02
  5. Step 5: Solve for x
    x = 32,618,790.02/8,424.50
  6. Step 6: Final answer
    x = 3,871.90

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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.