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Finding the Fourth Proportional to 8,201.35, 12,303.98 and 2,654.70

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Solution

The fourth proportional to 8,201.35, 12,303.98 and 2,654.70 is: 3,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.35 : 12,303.98 = 2,654.70 : x
  2. Step 2: Convert to fraction form
    8,201.35/12,303.98 = 2,654.70/x
  3. Step 3: Cross multiply
    8,201.35x = 12,303.98 × 2,654.70
  4. Step 4: Simplify right side
    8,201.35x = 32,663,351.58
  5. Step 5: Solve for x
    x = 32,663,351.58/8,201.35
  6. Step 6: Final answer
    x = 3,982.68

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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.