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Finding the Fourth Proportional to 8,224.47, 11,349.25 and 4,687.07

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Solution

The fourth proportional to 8,224.47, 11,349.25 and 4,687.07 is: 6,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.47 : 11,349.25 = 4,687.07 : x
  2. Step 2: Convert to fraction form
    8,224.47/11,349.25 = 4,687.07/x
  3. Step 3: Cross multiply
    8,224.47x = 11,349.25 × 4,687.07
  4. Step 4: Simplify right side
    8,224.47x = 53,194,660.73
  5. Step 5: Solve for x
    x = 53,194,660.73/8,224.47
  6. Step 6: Final answer
    x = 6,467.85

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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.