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Finding the Fourth Proportional to 8,194.24, 12,292.98 and 3,266.20

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Solution

The fourth proportional to 8,194.24, 12,292.98 and 3,266.20 is: 4,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.24 : 12,292.98 = 3,266.20 : x
  2. Step 2: Convert to fraction form
    8,194.24/12,292.98 = 3,266.20/x
  3. Step 3: Cross multiply
    8,194.24x = 12,292.98 × 3,266.20
  4. Step 4: Simplify right side
    8,194.24x = 40,151,331.28
  5. Step 5: Solve for x
    x = 40,151,331.28/8,194.24
  6. Step 6: Final answer
    x = 4,899.95

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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.