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Finding the Fourth Proportional to 11,197.96, 16,792.22 and 3,405

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Solution

The fourth proportional to 11,197.96, 16,792.22 and 3,405 is: 5,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.96 : 16,792.22 = 3,405 : x
  2. Step 2: Convert to fraction form
    11,197.96/16,792.22 = 3,405/x
  3. Step 3: Cross multiply
    11,197.96x = 16,792.22 × 3,405
  4. Step 4: Simplify right side
    11,197.96x = 57,177,509.10
  5. Step 5: Solve for x
    x = 57,177,509.10/11,197.96
  6. Step 6: Final answer
    x = 5,106.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.