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Finding the Fourth Proportional to 7,912.42, 11,863.74 and 3,228.60

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Solution

The fourth proportional to 7,912.42, 11,863.74 and 3,228.60 is: 4,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.42 : 11,863.74 = 3,228.60 : x
  2. Step 2: Convert to fraction form
    7,912.42/11,863.74 = 3,228.60/x
  3. Step 3: Cross multiply
    7,912.42x = 11,863.74 × 3,228.60
  4. Step 4: Simplify right side
    7,912.42x = 38,303,270.96
  5. Step 5: Solve for x
    x = 38,303,270.96/7,912.42
  6. Step 6: Final answer
    x = 4,840.90

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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.