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Finding the Fourth Proportional to 8,583.89, 11,843.75 and 6,221.93

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Solution

The fourth proportional to 8,583.89, 11,843.75 and 6,221.93 is: 8,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.89 : 11,843.75 = 6,221.93 : x
  2. Step 2: Convert to fraction form
    8,583.89/11,843.75 = 6,221.93/x
  3. Step 3: Cross multiply
    8,583.89x = 11,843.75 × 6,221.93
  4. Step 4: Simplify right side
    8,583.89x = 73,690,939.77
  5. Step 5: Solve for x
    x = 73,690,939.77/8,583.89
  6. Step 6: Final answer
    x = 8,584.80

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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.