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Finding the Fourth Proportional to 8,496.92, 11,715 and 6,077.18

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Solution

The fourth proportional to 8,496.92, 11,715 and 6,077.18 is: 8,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.92 : 11,715 = 6,077.18 : x
  2. Step 2: Convert to fraction form
    8,496.92/11,715 = 6,077.18/x
  3. Step 3: Cross multiply
    8,496.92x = 11,715 × 6,077.18
  4. Step 4: Simplify right side
    8,496.92x = 71,194,163.70
  5. Step 5: Solve for x
    x = 71,194,163.70/8,496.92
  6. Step 6: Final answer
    x = 8,378.82

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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.