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Finding the Fourth Proportional to 8,546.28, 12,841.02 and 8,200.68

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Solution

The fourth proportional to 8,546.28, 12,841.02 and 8,200.68 is: 12,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.28 : 12,841.02 = 8,200.68 : x
  2. Step 2: Convert to fraction form
    8,546.28/12,841.02 = 8,200.68/x
  3. Step 3: Cross multiply
    8,546.28x = 12,841.02 × 8,200.68
  4. Step 4: Simplify right side
    8,546.28x = 105,305,095.89
  5. Step 5: Solve for x
    x = 105,305,095.89/8,546.28
  6. Step 6: Final answer
    x = 12,321.75

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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.