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Finding the Fourth Proportional to 11,671.92, 17,505.31 and 3,350.08

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Solution

The fourth proportional to 11,671.92, 17,505.31 and 3,350.08 is: 5,024.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.92 : 17,505.31 = 3,350.08 : x
  2. Step 2: Convert to fraction form
    11,671.92/17,505.31 = 3,350.08/x
  3. Step 3: Cross multiply
    11,671.92x = 17,505.31 × 3,350.08
  4. Step 4: Simplify right side
    11,671.92x = 58,644,238.50
  5. Step 5: Solve for x
    x = 58,644,238.50/11,671.92
  6. Step 6: Final answer
    x = 5,024.39

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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.