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Finding the Fourth Proportional to 11,205.29, 16,806.13 and 3,412.28

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Solution

The fourth proportional to 11,205.29, 16,806.13 and 3,412.28 is: 5,117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.29 : 16,806.13 = 3,412.28 : x
  2. Step 2: Convert to fraction form
    11,205.29/16,806.13 = 3,412.28/x
  3. Step 3: Cross multiply
    11,205.29x = 16,806.13 × 3,412.28
  4. Step 4: Simplify right side
    11,205.29x = 57,347,221.28
  5. Step 5: Solve for x
    x = 57,347,221.28/11,205.29
  6. Step 6: Final answer
    x = 5,117.87

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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.