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Finding the Fourth Proportional to 8,027.80, 12,043.76 and 3,096.11

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Solution

The fourth proportional to 8,027.80, 12,043.76 and 3,096.11 is: 4,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.80 : 12,043.76 = 3,096.11 : x
  2. Step 2: Convert to fraction form
    8,027.80/12,043.76 = 3,096.11/x
  3. Step 3: Cross multiply
    8,027.80x = 12,043.76 × 3,096.11
  4. Step 4: Simplify right side
    8,027.80x = 37,288,820.40
  5. Step 5: Solve for x
    x = 37,288,820.40/8,027.80
  6. Step 6: Final answer
    x = 4,644.96

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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.