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Finding the Fourth Proportional to 10,806.72, 16,209.24 and 3,411.40

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Solution

The fourth proportional to 10,806.72, 16,209.24 and 3,411.40 is: 5,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.72 : 16,209.24 = 3,411.40 : x
  2. Step 2: Convert to fraction form
    10,806.72/16,209.24 = 3,411.40/x
  3. Step 3: Cross multiply
    10,806.72x = 16,209.24 × 3,411.40
  4. Step 4: Simplify right side
    10,806.72x = 55,296,201.34
  5. Step 5: Solve for x
    x = 55,296,201.34/10,806.72
  6. Step 6: Final answer
    x = 5,116.83

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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.