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Finding the Fourth Proportional to 10,806.54, 16,211.04 and 3,412.08

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Solution

The fourth proportional to 10,806.54, 16,211.04 and 3,412.08 is: 5,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.54 : 16,211.04 = 3,412.08 : x
  2. Step 2: Convert to fraction form
    10,806.54/16,211.04 = 3,412.08/x
  3. Step 3: Cross multiply
    10,806.54x = 16,211.04 × 3,412.08
  4. Step 4: Simplify right side
    10,806.54x = 55,313,365.36
  5. Step 5: Solve for x
    x = 55,313,365.36/10,806.54
  6. Step 6: Final answer
    x = 5,118.51

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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.