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Finding the Fourth Proportional to 8,133.10, 12,194.70 and 3,196.78

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Solution

The fourth proportional to 8,133.10, 12,194.70 and 3,196.78 is: 4,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,133.10 : 12,194.70 = 3,196.78 : x
  2. Step 2: Convert to fraction form
    8,133.10/12,194.70 = 3,196.78/x
  3. Step 3: Cross multiply
    8,133.10x = 12,194.70 × 3,196.78
  4. Step 4: Simplify right side
    8,133.10x = 38,983,773.07
  5. Step 5: Solve for x
    x = 38,983,773.07/8,133.10
  6. Step 6: Final answer
    x = 4,793.22

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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.