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Finding the Fourth Proportional to 8,157.80, 12,236.52 and 2,314.46

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Solution

The fourth proportional to 8,157.80, 12,236.52 and 2,314.46 is: 3,471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.80 : 12,236.52 = 2,314.46 : x
  2. Step 2: Convert to fraction form
    8,157.80/12,236.52 = 2,314.46/x
  3. Step 3: Cross multiply
    8,157.80x = 12,236.52 × 2,314.46
  4. Step 4: Simplify right side
    8,157.80x = 28,320,936.08
  5. Step 5: Solve for x
    x = 28,320,936.08/8,157.80
  6. Step 6: Final answer
    x = 3,471.64

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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.