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Finding the Fourth Proportional to 6,785.56, 10,178.22 and 2,168.60

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Solution

The fourth proportional to 6,785.56, 10,178.22 and 2,168.60 is: 3,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.56 : 10,178.22 = 2,168.60 : x
  2. Step 2: Convert to fraction form
    6,785.56/10,178.22 = 2,168.60/x
  3. Step 3: Cross multiply
    6,785.56x = 10,178.22 × 2,168.60
  4. Step 4: Simplify right side
    6,785.56x = 22,072,487.89
  5. Step 5: Solve for x
    x = 22,072,487.89/6,785.56
  6. Step 6: Final answer
    x = 3,252.86

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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.