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Finding the Fourth Proportional to 8,504.50, 11,747.36 and 5,847.29

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Solution

The fourth proportional to 8,504.50, 11,747.36 and 5,847.29 is: 8,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.50 : 11,747.36 = 5,847.29 : x
  2. Step 2: Convert to fraction form
    8,504.50/11,747.36 = 5,847.29/x
  3. Step 3: Cross multiply
    8,504.50x = 11,747.36 × 5,847.29
  4. Step 4: Simplify right side
    8,504.50x = 68,690,220.65
  5. Step 5: Solve for x
    x = 68,690,220.65/8,504.50
  6. Step 6: Final answer
    x = 8,076.93

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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.