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Finding the Fourth Proportional to 6,861.94, 10,282.18 and 5,305.79

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Solution

The fourth proportional to 6,861.94, 10,282.18 and 5,305.79 is: 7,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.94 : 10,282.18 = 5,305.79 : x
  2. Step 2: Convert to fraction form
    6,861.94/10,282.18 = 5,305.79/x
  3. Step 3: Cross multiply
    6,861.94x = 10,282.18 × 5,305.79
  4. Step 4: Simplify right side
    6,861.94x = 54,555,087.82
  5. Step 5: Solve for x
    x = 54,555,087.82/6,861.94
  6. Step 6: Final answer
    x = 7,950.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.