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Finding the Fourth Proportional to 11,206.80, 16,812.02 and 4,189.26

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Solution

The fourth proportional to 11,206.80, 16,812.02 and 4,189.26 is: 6,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.80 : 16,812.02 = 4,189.26 : x
  2. Step 2: Convert to fraction form
    11,206.80/16,812.02 = 4,189.26/x
  3. Step 3: Cross multiply
    11,206.80x = 16,812.02 × 4,189.26
  4. Step 4: Simplify right side
    11,206.80x = 70,429,922.91
  5. Step 5: Solve for x
    x = 70,429,922.91/11,206.80
  6. Step 6: Final answer
    x = 6,284.57

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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.