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Finding the Fourth Proportional to 6,892.60, 10,340.87 and 3,383.66

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Solution

The fourth proportional to 6,892.60, 10,340.87 and 3,383.66 is: 5,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.60 : 10,340.87 = 3,383.66 : x
  2. Step 2: Convert to fraction form
    6,892.60/10,340.87 = 3,383.66/x
  3. Step 3: Cross multiply
    6,892.60x = 10,340.87 × 3,383.66
  4. Step 4: Simplify right side
    6,892.60x = 34,989,997.12
  5. Step 5: Solve for x
    x = 34,989,997.12/6,892.60
  6. Step 6: Final answer
    x = 5,076.46

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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.