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Finding the Fourth Proportional to 6,896.70, 10,339.20 and 2,511.60

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Solution

The fourth proportional to 6,896.70, 10,339.20 and 2,511.60 is: 3,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.70 : 10,339.20 = 2,511.60 : x
  2. Step 2: Convert to fraction form
    6,896.70/10,339.20 = 2,511.60/x
  3. Step 3: Cross multiply
    6,896.70x = 10,339.20 × 2,511.60
  4. Step 4: Simplify right side
    6,896.70x = 25,967,934.72
  5. Step 5: Solve for x
    x = 25,967,934.72/6,896.70
  6. Step 6: Final answer
    x = 3,765.27

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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.