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Finding the Fourth Proportional to 11,194.56, 16,786.26 and 6,516.12

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Solution

The fourth proportional to 11,194.56, 16,786.26 and 6,516.12 is: 9,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,194.56 : 16,786.26 = 6,516.12 : x
  2. Step 2: Convert to fraction form
    11,194.56/16,786.26 = 6,516.12/x
  3. Step 3: Cross multiply
    11,194.56x = 16,786.26 × 6,516.12
  4. Step 4: Simplify right side
    11,194.56x = 109,381,284.51
  5. Step 5: Solve for x
    x = 109,381,284.51/11,194.56
  6. Step 6: Final answer
    x = 9,770.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.