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Finding the Fourth Proportional to 11,813.53, 17,722.63 and 3,380.12

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Solution

The fourth proportional to 11,813.53, 17,722.63 and 3,380.12 is: 5,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.53 : 17,722.63 = 3,380.12 : x
  2. Step 2: Convert to fraction form
    11,813.53/17,722.63 = 3,380.12/x
  3. Step 3: Cross multiply
    11,813.53x = 17,722.63 × 3,380.12
  4. Step 4: Simplify right side
    11,813.53x = 59,904,616.12
  5. Step 5: Solve for x
    x = 59,904,616.12/11,813.53
  6. Step 6: Final answer
    x = 5,070.85

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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.