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Finding the Fourth Proportional to 8,327.81, 12,493.09 and 2,780.12

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Solution

The fourth proportional to 8,327.81, 12,493.09 and 2,780.12 is: 4,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.81 : 12,493.09 = 2,780.12 : x
  2. Step 2: Convert to fraction form
    8,327.81/12,493.09 = 2,780.12/x
  3. Step 3: Cross multiply
    8,327.81x = 12,493.09 × 2,780.12
  4. Step 4: Simplify right side
    8,327.81x = 34,732,289.37
  5. Step 5: Solve for x
    x = 34,732,289.37/8,327.81
  6. Step 6: Final answer
    x = 4,170.64

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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.