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Finding the Fourth Proportional to 8,138.60, 12,207.90 and 3,206.60

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Solution

The fourth proportional to 8,138.60, 12,207.90 and 3,206.60 is: 4,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.60 : 12,207.90 = 3,206.60 : x
  2. Step 2: Convert to fraction form
    8,138.60/12,207.90 = 3,206.60/x
  3. Step 3: Cross multiply
    8,138.60x = 12,207.90 × 3,206.60
  4. Step 4: Simplify right side
    8,138.60x = 39,145,852.14
  5. Step 5: Solve for x
    x = 39,145,852.14/8,138.60
  6. Step 6: Final answer
    x = 4,809.90

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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.