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Finding the Fourth Proportional to 11,566.35, 15,961.86 and 6,847.92

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Solution

The fourth proportional to 11,566.35, 15,961.86 and 6,847.92 is: 9,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.35 : 15,961.86 = 6,847.92 : x
  2. Step 2: Convert to fraction form
    11,566.35/15,961.86 = 6,847.92/x
  3. Step 3: Cross multiply
    11,566.35x = 15,961.86 × 6,847.92
  4. Step 4: Simplify right side
    11,566.35x = 109,305,540.33
  5. Step 5: Solve for x
    x = 109,305,540.33/11,566.35
  6. Step 6: Final answer
    x = 9,450.31

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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.