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Finding the Fourth Proportional to 11,696.05, 17,544.03 and 4,297.29

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Solution

The fourth proportional to 11,696.05, 17,544.03 and 4,297.29 is: 6,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.05 : 17,544.03 = 4,297.29 : x
  2. Step 2: Convert to fraction form
    11,696.05/17,544.03 = 4,297.29/x
  3. Step 3: Cross multiply
    11,696.05x = 17,544.03 × 4,297.29
  4. Step 4: Simplify right side
    11,696.05x = 75,391,784.68
  5. Step 5: Solve for x
    x = 75,391,784.68/11,696.05
  6. Step 6: Final answer
    x = 6,445.92

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Why These Related Problems?

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