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Finding the Fourth Proportional to 11,600.73, 17,410.31 and 4,207.31

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Solution

The fourth proportional to 11,600.73, 17,410.31 and 4,207.31 is: 6,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.73 : 17,410.31 = 4,207.31 : x
  2. Step 2: Convert to fraction form
    11,600.73/17,410.31 = 4,207.31/x
  3. Step 3: Cross multiply
    11,600.73x = 17,410.31 × 4,207.31
  4. Step 4: Simplify right side
    11,600.73x = 73,250,544.34
  5. Step 5: Solve for x
    x = 73,250,544.34/11,600.73
  6. Step 6: Final answer
    x = 6,314.30

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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.