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Finding the Fourth Proportional to 8,201.20, 12,303.75 and 2,654.54

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Solution

The fourth proportional to 8,201.20, 12,303.75 and 2,654.54 is: 3,982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.20 : 12,303.75 = 2,654.54 : x
  2. Step 2: Convert to fraction form
    8,201.20/12,303.75 = 2,654.54/x
  3. Step 3: Cross multiply
    8,201.20x = 12,303.75 × 2,654.54
  4. Step 4: Simplify right side
    8,201.20x = 32,660,823.97
  5. Step 5: Solve for x
    x = 32,660,823.97/8,201.20
  6. Step 6: Final answer
    x = 3,982.45

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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.