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Finding the Fourth Proportional to 6,855.45, 10,269.46 and 3,152.60

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Solution

The fourth proportional to 6,855.45, 10,269.46 and 3,152.60 is: 4,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.45 : 10,269.46 = 3,152.60 : x
  2. Step 2: Convert to fraction form
    6,855.45/10,269.46 = 3,152.60/x
  3. Step 3: Cross multiply
    6,855.45x = 10,269.46 × 3,152.60
  4. Step 4: Simplify right side
    6,855.45x = 32,375,499.60
  5. Step 5: Solve for x
    x = 32,375,499.60/6,855.45
  6. Step 6: Final answer
    x = 4,722.59

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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.