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Finding the Fourth Proportional to 10,803.89, 16,205.83 and 3,409.09

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Solution

The fourth proportional to 10,803.89, 16,205.83 and 3,409.09 is: 5,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.89 : 16,205.83 = 3,409.09 : x
  2. Step 2: Convert to fraction form
    10,803.89/16,205.83 = 3,409.09/x
  3. Step 3: Cross multiply
    10,803.89x = 16,205.83 × 3,409.09
  4. Step 4: Simplify right side
    10,803.89x = 55,247,083.96
  5. Step 5: Solve for x
    x = 55,247,083.96/10,803.89
  6. Step 6: Final answer
    x = 5,113.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.