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Finding the Fourth Proportional to 7,912.02, 11,867.94 and 3,234.54

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Solution

The fourth proportional to 7,912.02, 11,867.94 and 3,234.54 is: 4,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.02 : 11,867.94 = 3,234.54 : x
  2. Step 2: Convert to fraction form
    7,912.02/11,867.94 = 3,234.54/x
  3. Step 3: Cross multiply
    7,912.02x = 11,867.94 × 3,234.54
  4. Step 4: Simplify right side
    7,912.02x = 38,387,326.65
  5. Step 5: Solve for x
    x = 38,387,326.65/7,912.02
  6. Step 6: Final answer
    x = 4,851.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.