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Finding the Fourth Proportional to 8,170.46, 12,255.70 and 2,327.08

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Solution

The fourth proportional to 8,170.46, 12,255.70 and 2,327.08 is: 3,490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.46 : 12,255.70 = 2,327.08 : x
  2. Step 2: Convert to fraction form
    8,170.46/12,255.70 = 2,327.08/x
  3. Step 3: Cross multiply
    8,170.46x = 12,255.70 × 2,327.08
  4. Step 4: Simplify right side
    8,170.46x = 28,519,994.36
  5. Step 5: Solve for x
    x = 28,519,994.36/8,170.46
  6. Step 6: Final answer
    x = 3,490.62

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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.