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Finding the Fourth Proportional to 8,200.98, 12,302.28 and 2,654.10

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Solution

The fourth proportional to 8,200.98, 12,302.28 and 2,654.10 is: 3,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.98 : 12,302.28 = 2,654.10 : x
  2. Step 2: Convert to fraction form
    8,200.98/12,302.28 = 2,654.10/x
  3. Step 3: Cross multiply
    8,200.98x = 12,302.28 × 2,654.10
  4. Step 4: Simplify right side
    8,200.98x = 32,651,481.35
  5. Step 5: Solve for x
    x = 32,651,481.35/8,200.98
  6. Step 6: Final answer
    x = 3,981.41

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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.