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Finding the Fourth Proportional to 8,364.20, 12,546.30 and 3,431.30

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Solution

The fourth proportional to 8,364.20, 12,546.30 and 3,431.30 is: 5,146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.20 : 12,546.30 = 3,431.30 : x
  2. Step 2: Convert to fraction form
    8,364.20/12,546.30 = 3,431.30/x
  3. Step 3: Cross multiply
    8,364.20x = 12,546.30 × 3,431.30
  4. Step 4: Simplify right side
    8,364.20x = 43,050,119.19
  5. Step 5: Solve for x
    x = 43,050,119.19/8,364.20
  6. Step 6: Final answer
    x = 5,146.95

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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.