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Finding the Fourth Proportional to 8,129.40, 12,195.45 and 3,199.20

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Solution

The fourth proportional to 8,129.40, 12,195.45 and 3,199.20 is: 4,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.40 : 12,195.45 = 3,199.20 : x
  2. Step 2: Convert to fraction form
    8,129.40/12,195.45 = 3,199.20/x
  3. Step 3: Cross multiply
    8,129.40x = 12,195.45 × 3,199.20
  4. Step 4: Simplify right side
    8,129.40x = 39,015,683.64
  5. Step 5: Solve for x
    x = 39,015,683.64/8,129.40
  6. Step 6: Final answer
    x = 4,799.33

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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.