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Finding the Fourth Proportional to 11,297.50, 16,946.17 and 3,399.99

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Solution

The fourth proportional to 11,297.50, 16,946.17 and 3,399.99 is: 5,099.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.50 : 16,946.17 = 3,399.99 : x
  2. Step 2: Convert to fraction form
    11,297.50/16,946.17 = 3,399.99/x
  3. Step 3: Cross multiply
    11,297.50x = 16,946.17 × 3,399.99
  4. Step 4: Simplify right side
    11,297.50x = 57,616,719.56
  5. Step 5: Solve for x
    x = 57,616,719.56/11,297.50
  6. Step 6: Final answer
    x = 5,099.95

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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.