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Finding the Fourth Proportional to 11,206.67, 16,812.48 and 3,416.09

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Solution

The fourth proportional to 11,206.67, 16,812.48 and 3,416.09 is: 5,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.67 : 16,812.48 = 3,416.09 : x
  2. Step 2: Convert to fraction form
    11,206.67/16,812.48 = 3,416.09/x
  3. Step 3: Cross multiply
    11,206.67x = 16,812.48 × 3,416.09
  4. Step 4: Simplify right side
    11,206.67x = 57,432,944.80
  5. Step 5: Solve for x
    x = 57,432,944.80/11,206.67
  6. Step 6: Final answer
    x = 5,124.89

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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.