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Finding the Fourth Proportional to 8,327.02, 12,491.47 and 2,780.75

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Solution

The fourth proportional to 8,327.02, 12,491.47 and 2,780.75 is: 4,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.02 : 12,491.47 = 2,780.75 : x
  2. Step 2: Convert to fraction form
    8,327.02/12,491.47 = 2,780.75/x
  3. Step 3: Cross multiply
    8,327.02x = 12,491.47 × 2,780.75
  4. Step 4: Simplify right side
    8,327.02x = 34,735,604.00
  5. Step 5: Solve for x
    x = 34,735,604.00/8,327.02
  6. Step 6: Final answer
    x = 4,171.43

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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.