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Finding the Fourth Proportional to 7,942.65, 11,912.55 and 4,652.43

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Solution

The fourth proportional to 7,942.65, 11,912.55 and 4,652.43 is: 6,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.65 : 11,912.55 = 4,652.43 : x
  2. Step 2: Convert to fraction form
    7,942.65/11,912.55 = 4,652.43/x
  3. Step 3: Cross multiply
    7,942.65x = 11,912.55 × 4,652.43
  4. Step 4: Simplify right side
    7,942.65x = 55,422,305.00
  5. Step 5: Solve for x
    x = 55,422,305.00/7,942.65
  6. Step 6: Final answer
    x = 6,977.81

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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.