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Finding the Fourth Proportional to 11,854.96, 16,363.01 and 6,819.73

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Solution

The fourth proportional to 11,854.96, 16,363.01 and 6,819.73 is: 9,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.96 : 16,363.01 = 6,819.73 : x
  2. Step 2: Convert to fraction form
    11,854.96/16,363.01 = 6,819.73/x
  3. Step 3: Cross multiply
    11,854.96x = 16,363.01 × 6,819.73
  4. Step 4: Simplify right side
    11,854.96x = 111,591,310.19
  5. Step 5: Solve for x
    x = 111,591,310.19/11,854.96
  6. Step 6: Final answer
    x = 9,413.05

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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.