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Finding the Fourth Proportional to 11,694.31, 17,544.48 and 3,374.98

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Solution

The fourth proportional to 11,694.31, 17,544.48 and 3,374.98 is: 5,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.31 : 17,544.48 = 3,374.98 : x
  2. Step 2: Convert to fraction form
    11,694.31/17,544.48 = 3,374.98/x
  3. Step 3: Cross multiply
    11,694.31x = 17,544.48 × 3,374.98
  4. Step 4: Simplify right side
    11,694.31x = 59,212,269.11
  5. Step 5: Solve for x
    x = 59,212,269.11/11,694.31
  6. Step 6: Final answer
    x = 5,063.34

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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.