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Finding the Fourth Proportional to 8,224.29, 11,348.51 and 5,238.90

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Solution

The fourth proportional to 8,224.29, 11,348.51 and 5,238.90 is: 7,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.29 : 11,348.51 = 5,238.90 : x
  2. Step 2: Convert to fraction form
    8,224.29/11,348.51 = 5,238.90/x
  3. Step 3: Cross multiply
    8,224.29x = 11,348.51 × 5,238.90
  4. Step 4: Simplify right side
    8,224.29x = 59,453,682.84
  5. Step 5: Solve for x
    x = 59,453,682.84/8,224.29
  6. Step 6: Final answer
    x = 7,229.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.