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Finding the Fourth Proportional to 8,453.29, 11,658.46 and 6,333.80

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Solution

The fourth proportional to 8,453.29, 11,658.46 and 6,333.80 is: 8,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.29 : 11,658.46 = 6,333.80 : x
  2. Step 2: Convert to fraction form
    8,453.29/11,658.46 = 6,333.80/x
  3. Step 3: Cross multiply
    8,453.29x = 11,658.46 × 6,333.80
  4. Step 4: Simplify right side
    8,453.29x = 73,842,273.88
  5. Step 5: Solve for x
    x = 73,842,273.88/8,453.29
  6. Step 6: Final answer
    x = 8,735.33

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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.