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Finding the Fourth Proportional to 11,755.53, 17,634.95 and 3,436.19

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Solution

The fourth proportional to 11,755.53, 17,634.95 and 3,436.19 is: 5,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.53 : 17,634.95 = 3,436.19 : x
  2. Step 2: Convert to fraction form
    11,755.53/17,634.95 = 3,436.19/x
  3. Step 3: Cross multiply
    11,755.53x = 17,634.95 × 3,436.19
  4. Step 4: Simplify right side
    11,755.53x = 60,597,012.50
  5. Step 5: Solve for x
    x = 60,597,012.50/11,755.53
  6. Step 6: Final answer
    x = 5,154.77

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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.