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Finding the Fourth Proportional to 11,660.49, 16,091.22 and 6,355.35

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Solution

The fourth proportional to 11,660.49, 16,091.22 and 6,355.35 is: 8,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.49 : 16,091.22 = 6,355.35 : x
  2. Step 2: Convert to fraction form
    11,660.49/16,091.22 = 6,355.35/x
  3. Step 3: Cross multiply
    11,660.49x = 16,091.22 × 6,355.35
  4. Step 4: Simplify right side
    11,660.49x = 102,265,335.03
  5. Step 5: Solve for x
    x = 102,265,335.03/11,660.49
  6. Step 6: Final answer
    x = 8,770.24

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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.