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Finding the Fourth Proportional to 6,961.20, 10,442.27 and 2,801.20

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Solution

The fourth proportional to 6,961.20, 10,442.27 and 2,801.20 is: 4,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.20 : 10,442.27 = 2,801.20 : x
  2. Step 2: Convert to fraction form
    6,961.20/10,442.27 = 2,801.20/x
  3. Step 3: Cross multiply
    6,961.20x = 10,442.27 × 2,801.20
  4. Step 4: Simplify right side
    6,961.20x = 29,250,886.72
  5. Step 5: Solve for x
    x = 29,250,886.72/6,961.20
  6. Step 6: Final answer
    x = 4,201.99

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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.