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Finding the Fourth Proportional to 11,811.96, 16,300.51 and 6,434.37

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Solution

The fourth proportional to 11,811.96, 16,300.51 and 6,434.37 is: 8,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.96 : 16,300.51 = 6,434.37 : x
  2. Step 2: Convert to fraction form
    11,811.96/16,300.51 = 6,434.37/x
  3. Step 3: Cross multiply
    11,811.96x = 16,300.51 × 6,434.37
  4. Step 4: Simplify right side
    11,811.96x = 104,883,496.44
  5. Step 5: Solve for x
    x = 104,883,496.44/11,811.96
  6. Step 6: Final answer
    x = 8,879.43

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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.