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Finding the Fourth Proportional to 11,610.50, 16,022.48 and 6,305.31

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Solution

The fourth proportional to 11,610.50, 16,022.48 and 6,305.31 is: 8,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.50 : 16,022.48 = 6,305.31 : x
  2. Step 2: Convert to fraction form
    11,610.50/16,022.48 = 6,305.31/x
  3. Step 3: Cross multiply
    11,610.50x = 16,022.48 × 6,305.31
  4. Step 4: Simplify right side
    11,610.50x = 101,026,755.57
  5. Step 5: Solve for x
    x = 101,026,755.57/11,610.50
  6. Step 6: Final answer
    x = 8,701.33

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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.