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Finding the Fourth Proportional to 8,157.37, 12,236.06 and 2,314.03

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Solution

The fourth proportional to 8,157.37, 12,236.06 and 2,314.03 is: 3,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.37 : 12,236.06 = 2,314.03 : x
  2. Step 2: Convert to fraction form
    8,157.37/12,236.06 = 2,314.03/x
  3. Step 3: Cross multiply
    8,157.37x = 12,236.06 × 2,314.03
  4. Step 4: Simplify right side
    8,157.37x = 28,314,609.92
  5. Step 5: Solve for x
    x = 28,314,609.92/8,157.37
  6. Step 6: Final answer
    x = 3,471.05

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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.