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Finding the Fourth Proportional to 8,496.18, 12,744 and 3,498.36

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Solution

The fourth proportional to 8,496.18, 12,744 and 3,498.36 is: 5,247.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.18 : 12,744 = 3,498.36 : x
  2. Step 2: Convert to fraction form
    8,496.18/12,744 = 3,498.36/x
  3. Step 3: Cross multiply
    8,496.18x = 12,744 × 3,498.36
  4. Step 4: Simplify right side
    8,496.18x = 44,583,099.84
  5. Step 5: Solve for x
    x = 44,583,099.84/8,496.18
  6. Step 6: Final answer
    x = 5,247.43

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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.