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Finding the Fourth Proportional to 6,857.98, 10,279.20 and 3,152.56

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Solution

The fourth proportional to 6,857.98, 10,279.20 and 3,152.56 is: 4,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.98 : 10,279.20 = 3,152.56 : x
  2. Step 2: Convert to fraction form
    6,857.98/10,279.20 = 3,152.56/x
  3. Step 3: Cross multiply
    6,857.98x = 10,279.20 × 3,152.56
  4. Step 4: Simplify right side
    6,857.98x = 32,405,769.05
  5. Step 5: Solve for x
    x = 32,405,769.05/6,857.98
  6. Step 6: Final answer
    x = 4,725.27

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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.