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Finding the Fourth Proportional to 8,583.75, 11,847.09 and 5,046.96

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Solution

The fourth proportional to 8,583.75, 11,847.09 and 5,046.96 is: 6,965.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.75 : 11,847.09 = 5,046.96 : x
  2. Step 2: Convert to fraction form
    8,583.75/11,847.09 = 5,046.96/x
  3. Step 3: Cross multiply
    8,583.75x = 11,847.09 × 5,046.96
  4. Step 4: Simplify right side
    8,583.75x = 59,791,789.35
  5. Step 5: Solve for x
    x = 59,791,789.35/8,583.75
  6. Step 6: Final answer
    x = 6,965.70

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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.