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Finding the Fourth Proportional to 11,762.43, 17,639.73 and 3,442.92

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Solution

The fourth proportional to 11,762.43, 17,639.73 and 3,442.92 is: 5,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.43 : 17,639.73 = 3,442.92 : x
  2. Step 2: Convert to fraction form
    11,762.43/17,639.73 = 3,442.92/x
  3. Step 3: Cross multiply
    11,762.43x = 17,639.73 × 3,442.92
  4. Step 4: Simplify right side
    11,762.43x = 60,732,179.21
  5. Step 5: Solve for x
    x = 60,732,179.21/11,762.43
  6. Step 6: Final answer
    x = 5,163.23

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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.