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Finding the Fourth Proportional to 8,069, 12,102.90 and 3,138.20

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Solution

The fourth proportional to 8,069, 12,102.90 and 3,138.20 is: 4,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069 : 12,102.90 = 3,138.20 : x
  2. Step 2: Convert to fraction form
    8,069/12,102.90 = 3,138.20/x
  3. Step 3: Cross multiply
    8,069x = 12,102.90 × 3,138.20
  4. Step 4: Simplify right side
    8,069x = 37,981,320.78
  5. Step 5: Solve for x
    x = 37,981,320.78/8,069
  6. Step 6: Final answer
    x = 4,707.07

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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.