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Finding the Fourth Proportional to 8,254.72, 12,382.08 and 2,786.56

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Solution

The fourth proportional to 8,254.72, 12,382.08 and 2,786.56 is: 4,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.72 : 12,382.08 = 2,786.56 : x
  2. Step 2: Convert to fraction form
    8,254.72/12,382.08 = 2,786.56/x
  3. Step 3: Cross multiply
    8,254.72x = 12,382.08 × 2,786.56
  4. Step 4: Simplify right side
    8,254.72x = 34,503,408.84
  5. Step 5: Solve for x
    x = 34,503,408.84/8,254.72
  6. Step 6: Final answer
    x = 4,179.84

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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.