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Finding the Fourth Proportional to 11,696.81, 17,546.22 and 3,377.70

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Solution

The fourth proportional to 11,696.81, 17,546.22 and 3,377.70 is: 5,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.81 : 17,546.22 = 3,377.70 : x
  2. Step 2: Convert to fraction form
    11,696.81/17,546.22 = 3,377.70/x
  3. Step 3: Cross multiply
    11,696.81x = 17,546.22 × 3,377.70
  4. Step 4: Simplify right side
    11,696.81x = 59,265,867.29
  5. Step 5: Solve for x
    x = 59,265,867.29/11,696.81
  6. Step 6: Final answer
    x = 5,066.84

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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.