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Finding the Fourth Proportional to 8,196.20, 12,294.30 and 5,604.20

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Solution

The fourth proportional to 8,196.20, 12,294.30 and 5,604.20 is: 8,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.20 : 12,294.30 = 5,604.20 : x
  2. Step 2: Convert to fraction form
    8,196.20/12,294.30 = 5,604.20/x
  3. Step 3: Cross multiply
    8,196.20x = 12,294.30 × 5,604.20
  4. Step 4: Simplify right side
    8,196.20x = 68,899,716.06
  5. Step 5: Solve for x
    x = 68,899,716.06/8,196.20
  6. Step 6: Final answer
    x = 8,406.30

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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.