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Finding the Fourth Proportional to 11,696.46, 17,544.82 and 6,763.10

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Solution

The fourth proportional to 11,696.46, 17,544.82 and 6,763.10 is: 10,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.46 : 17,544.82 = 6,763.10 : x
  2. Step 2: Convert to fraction form
    11,696.46/17,544.82 = 6,763.10/x
  3. Step 3: Cross multiply
    11,696.46x = 17,544.82 × 6,763.10
  4. Step 4: Simplify right side
    11,696.46x = 118,657,372.14
  5. Step 5: Solve for x
    x = 118,657,372.14/11,696.46
  6. Step 6: Final answer
    x = 10,144.73

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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.