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Finding the Fourth Proportional to 8,109.74, 12,165.34 and 4,213.10

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Solution

The fourth proportional to 8,109.74, 12,165.34 and 4,213.10 is: 6,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.74 : 12,165.34 = 4,213.10 : x
  2. Step 2: Convert to fraction form
    8,109.74/12,165.34 = 4,213.10/x
  3. Step 3: Cross multiply
    8,109.74x = 12,165.34 × 4,213.10
  4. Step 4: Simplify right side
    8,109.74x = 51,253,793.95
  5. Step 5: Solve for x
    x = 51,253,793.95/8,109.74
  6. Step 6: Final answer
    x = 6,320.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.