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Finding the Fourth Proportional to 8,638.12, 11,920.38 and 4,912.12

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Solution

The fourth proportional to 8,638.12, 11,920.38 and 4,912.12 is: 6,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.12 : 11,920.38 = 4,912.12 : x
  2. Step 2: Convert to fraction form
    8,638.12/11,920.38 = 4,912.12/x
  3. Step 3: Cross multiply
    8,638.12x = 11,920.38 × 4,912.12
  4. Step 4: Simplify right side
    8,638.12x = 58,554,337.01
  5. Step 5: Solve for x
    x = 58,554,337.01/8,638.12
  6. Step 6: Final answer
    x = 6,778.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.