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Finding the Fourth Proportional to 8,694.14, 11,999.52 and 5,861.48

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Solution

The fourth proportional to 8,694.14, 11,999.52 and 5,861.48 is: 8,089.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.14 : 11,999.52 = 5,861.48 : x
  2. Step 2: Convert to fraction form
    8,694.14/11,999.52 = 5,861.48/x
  3. Step 3: Cross multiply
    8,694.14x = 11,999.52 × 5,861.48
  4. Step 4: Simplify right side
    8,694.14x = 70,334,946.49
  5. Step 5: Solve for x
    x = 70,334,946.49/8,694.14
  6. Step 6: Final answer
    x = 8,089.93

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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.