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Finding the Fourth Proportional to 11,684.70, 17,529.84 and 3,893.58

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Solution

The fourth proportional to 11,684.70, 17,529.84 and 3,893.58 is: 5,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.70 : 17,529.84 = 3,893.58 : x
  2. Step 2: Convert to fraction form
    11,684.70/17,529.84 = 3,893.58/x
  3. Step 3: Cross multiply
    11,684.70x = 17,529.84 × 3,893.58
  4. Step 4: Simplify right side
    11,684.70x = 68,253,834.43
  5. Step 5: Solve for x
    x = 68,253,834.43/11,684.70
  6. Step 6: Final answer
    x = 5,841.30

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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.