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Finding the Fourth Proportional to 10,083.95, 13,910.52 and 5,993.44

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Solution

The fourth proportional to 10,083.95, 13,910.52 and 5,993.44 is: 8,267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.95 : 13,910.52 = 5,993.44 : x
  2. Step 2: Convert to fraction form
    10,083.95/13,910.52 = 5,993.44/x
  3. Step 3: Cross multiply
    10,083.95x = 13,910.52 × 5,993.44
  4. Step 4: Simplify right side
    10,083.95x = 83,371,866.99
  5. Step 5: Solve for x
    x = 83,371,866.99/10,083.95
  6. Step 6: Final answer
    x = 8,267.78

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