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Finding the Fourth Proportional to 11,893.50, 17,844.12 and 4,498.56

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Solution

The fourth proportional to 11,893.50, 17,844.12 and 4,498.56 is: 6,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.50 : 17,844.12 = 4,498.56 : x
  2. Step 2: Convert to fraction form
    11,893.50/17,844.12 = 4,498.56/x
  3. Step 3: Cross multiply
    11,893.50x = 17,844.12 × 4,498.56
  4. Step 4: Simplify right side
    11,893.50x = 80,272,844.47
  5. Step 5: Solve for x
    x = 80,272,844.47/11,893.50
  6. Step 6: Final answer
    x = 6,749.30

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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.