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Finding the Fourth Proportional to 6,962.25, 10,440.94 and 2,801.17

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Solution

The fourth proportional to 6,962.25, 10,440.94 and 2,801.17 is: 4,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.25 : 10,440.94 = 2,801.17 : x
  2. Step 2: Convert to fraction form
    6,962.25/10,440.94 = 2,801.17/x
  3. Step 3: Cross multiply
    6,962.25x = 10,440.94 × 2,801.17
  4. Step 4: Simplify right side
    6,962.25x = 29,246,847.90
  5. Step 5: Solve for x
    x = 29,246,847.90/6,962.25
  6. Step 6: Final answer
    x = 4,200.78

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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.