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Finding the Fourth Proportional to 11,833.43, 17,739.81 and 4,435.90

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Solution

The fourth proportional to 11,833.43, 17,739.81 and 4,435.90 is: 6,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.43 : 17,739.81 = 4,435.90 : x
  2. Step 2: Convert to fraction form
    11,833.43/17,739.81 = 4,435.90/x
  3. Step 3: Cross multiply
    11,833.43x = 17,739.81 × 4,435.90
  4. Step 4: Simplify right side
    11,833.43x = 78,691,978.83
  5. Step 5: Solve for x
    x = 78,691,978.83/11,833.43
  6. Step 6: Final answer
    x = 6,649.97

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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.