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Finding the Fourth Proportional to 8,201.32, 12,303.94 and 2,654.67

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Solution

The fourth proportional to 8,201.32, 12,303.94 and 2,654.67 is: 3,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.32 : 12,303.94 = 2,654.67 : x
  2. Step 2: Convert to fraction form
    8,201.32/12,303.94 = 2,654.67/x
  3. Step 3: Cross multiply
    8,201.32x = 12,303.94 × 2,654.67
  4. Step 4: Simplify right side
    8,201.32x = 32,662,859.68
  5. Step 5: Solve for x
    x = 32,662,859.68/8,201.32
  6. Step 6: Final answer
    x = 3,982.63

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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.