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Finding the Fourth Proportional to 12,382.72, 17,083.99 and 7,073.77

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Solution

The fourth proportional to 12,382.72, 17,083.99 and 7,073.77 is: 9,759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.72 : 17,083.99 = 7,073.77 : x
  2. Step 2: Convert to fraction form
    12,382.72/17,083.99 = 7,073.77/x
  3. Step 3: Cross multiply
    12,382.72x = 17,083.99 × 7,073.77
  4. Step 4: Simplify right side
    12,382.72x = 120,848,215.94
  5. Step 5: Solve for x
    x = 120,848,215.94/12,382.72
  6. Step 6: Final answer
    x = 9,759.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.