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Finding the Fourth Proportional to 11,838.21, 17,749.07 and 5,990.82

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Solution

The fourth proportional to 11,838.21, 17,749.07 and 5,990.82 is: 8,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.21 : 17,749.07 = 5,990.82 : x
  2. Step 2: Convert to fraction form
    11,838.21/17,749.07 = 5,990.82/x
  3. Step 3: Cross multiply
    11,838.21x = 17,749.07 × 5,990.82
  4. Step 4: Simplify right side
    11,838.21x = 106,331,483.54
  5. Step 5: Solve for x
    x = 106,331,483.54/11,838.21
  6. Step 6: Final answer
    x = 8,982.06

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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.