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Finding the Fourth Proportional to 8,254.92, 11,385.42 and 5,736.98

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Solution

The fourth proportional to 8,254.92, 11,385.42 and 5,736.98 is: 7,912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.92 : 11,385.42 = 5,736.98 : x
  2. Step 2: Convert to fraction form
    8,254.92/11,385.42 = 5,736.98/x
  3. Step 3: Cross multiply
    8,254.92x = 11,385.42 × 5,736.98
  4. Step 4: Simplify right side
    8,254.92x = 65,317,926.83
  5. Step 5: Solve for x
    x = 65,317,926.83/8,254.92
  6. Step 6: Final answer
    x = 7,912.61

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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.