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Finding the Fourth Proportional to 7,342.92, 11,014.31 and 1,796.29

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Solution

The fourth proportional to 7,342.92, 11,014.31 and 1,796.29 is: 2,694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342.92 : 11,014.31 = 1,796.29 : x
  2. Step 2: Convert to fraction form
    7,342.92/11,014.31 = 1,796.29/x
  3. Step 3: Cross multiply
    7,342.92x = 11,014.31 × 1,796.29
  4. Step 4: Simplify right side
    7,342.92x = 19,784,871.86
  5. Step 5: Solve for x
    x = 19,784,871.86/7,342.92
  6. Step 6: Final answer
    x = 2,694.41

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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.