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Finding the Fourth Proportional to 8,224.29, 11,349.63 and 4,687.83

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Solution

The fourth proportional to 8,224.29, 11,349.63 and 4,687.83 is: 6,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.29 : 11,349.63 = 4,687.83 : x
  2. Step 2: Convert to fraction form
    8,224.29/11,349.63 = 4,687.83/x
  3. Step 3: Cross multiply
    8,224.29x = 11,349.63 × 4,687.83
  4. Step 4: Simplify right side
    8,224.29x = 53,205,136.00
  5. Step 5: Solve for x
    x = 53,205,136.00/8,224.29
  6. Step 6: Final answer
    x = 6,469.27

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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.