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Finding the Fourth Proportional to 10,806.90, 16,208.99 and 3,412.11

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Solution

The fourth proportional to 10,806.90, 16,208.99 and 3,412.11 is: 5,117.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.90 : 16,208.99 = 3,412.11 : x
  2. Step 2: Convert to fraction form
    10,806.90/16,208.99 = 3,412.11/x
  3. Step 3: Cross multiply
    10,806.90x = 16,208.99 × 3,412.11
  4. Step 4: Simplify right side
    10,806.90x = 55,306,839.81
  5. Step 5: Solve for x
    x = 55,306,839.81/10,806.90
  6. Step 6: Final answer
    x = 5,117.73

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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.