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Finding the Fourth Proportional to 7,502.26, 11,255.06 and 2,822.31

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Solution

The fourth proportional to 7,502.26, 11,255.06 and 2,822.31 is: 4,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.26 : 11,255.06 = 2,822.31 : x
  2. Step 2: Convert to fraction form
    7,502.26/11,255.06 = 2,822.31/x
  3. Step 3: Cross multiply
    7,502.26x = 11,255.06 × 2,822.31
  4. Step 4: Simplify right side
    7,502.26x = 31,765,222.65
  5. Step 5: Solve for x
    x = 31,765,222.65/7,502.26
  6. Step 6: Final answer
    x = 4,234.09

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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.