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Finding the Fourth Proportional to 11,791.53, 17,683.54 and 3,892.58

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Solution

The fourth proportional to 11,791.53, 17,683.54 and 3,892.58 is: 5,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.53 : 17,683.54 = 3,892.58 : x
  2. Step 2: Convert to fraction form
    11,791.53/17,683.54 = 3,892.58/x
  3. Step 3: Cross multiply
    11,791.53x = 17,683.54 × 3,892.58
  4. Step 4: Simplify right side
    11,791.53x = 68,834,495.98
  5. Step 5: Solve for x
    x = 68,834,495.98/11,791.53
  6. Step 6: Final answer
    x = 5,837.62

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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.