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Finding the Fourth Proportional to 10,806.46, 16,209.69 and 3,411.49

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Solution

The fourth proportional to 10,806.46, 16,209.69 and 3,411.49 is: 5,117.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.46 : 16,209.69 = 3,411.49 : x
  2. Step 2: Convert to fraction form
    10,806.46/16,209.69 = 3,411.49/x
  3. Step 3: Cross multiply
    10,806.46x = 16,209.69 × 3,411.49
  4. Step 4: Simplify right side
    10,806.46x = 55,299,178.28
  5. Step 5: Solve for x
    x = 55,299,178.28/10,806.46
  6. Step 6: Final answer
    x = 5,117.24

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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.