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Finding the Fourth Proportional to 6,850.56, 10,256.16 and 3,555.84

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Solution

The fourth proportional to 6,850.56, 10,256.16 and 3,555.84 is: 5,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.56 : 10,256.16 = 3,555.84 : x
  2. Step 2: Convert to fraction form
    6,850.56/10,256.16 = 3,555.84/x
  3. Step 3: Cross multiply
    6,850.56x = 10,256.16 × 3,555.84
  4. Step 4: Simplify right side
    6,850.56x = 36,469,263.97
  5. Step 5: Solve for x
    x = 36,469,263.97/6,850.56
  6. Step 6: Final answer
    x = 5,323.54

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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.