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Finding the Fourth Proportional to 8,077.41, 12,102.74 and 2,809.62

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Solution

The fourth proportional to 8,077.41, 12,102.74 and 2,809.62 is: 4,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.41 : 12,102.74 = 2,809.62 : x
  2. Step 2: Convert to fraction form
    8,077.41/12,102.74 = 2,809.62/x
  3. Step 3: Cross multiply
    8,077.41x = 12,102.74 × 2,809.62
  4. Step 4: Simplify right side
    8,077.41x = 34,004,086.31
  5. Step 5: Solve for x
    x = 34,004,086.31/8,077.41
  6. Step 6: Final answer
    x = 4,209.78

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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.