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Finding the Fourth Proportional to 11,660.56, 16,091.91 and 6,355.71

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Solution

The fourth proportional to 11,660.56, 16,091.91 and 6,355.71 is: 8,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.56 : 16,091.91 = 6,355.71 : x
  2. Step 2: Convert to fraction form
    11,660.56/16,091.91 = 6,355.71/x
  3. Step 3: Cross multiply
    11,660.56x = 16,091.91 × 6,355.71
  4. Step 4: Simplify right side
    11,660.56x = 102,275,513.31
  5. Step 5: Solve for x
    x = 102,275,513.31/11,660.56
  6. Step 6: Final answer
    x = 8,771.07

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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.