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Finding the Fourth Proportional to 11,739.71, 16,200.92 and 6,434.41

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Solution

The fourth proportional to 11,739.71, 16,200.92 and 6,434.41 is: 8,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.71 : 16,200.92 = 6,434.41 : x
  2. Step 2: Convert to fraction form
    11,739.71/16,200.92 = 6,434.41/x
  3. Step 3: Cross multiply
    11,739.71x = 16,200.92 × 6,434.41
  4. Step 4: Simplify right side
    11,739.71x = 104,243,361.66
  5. Step 5: Solve for x
    x = 104,243,361.66/11,739.71
  6. Step 6: Final answer
    x = 8,879.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.