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Finding the Fourth Proportional to 11,196.18, 16,794.27 and 3,405

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Solution

The fourth proportional to 11,196.18, 16,794.27 and 3,405 is: 5,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196.18 : 16,794.27 = 3,405 : x
  2. Step 2: Convert to fraction form
    11,196.18/16,794.27 = 3,405/x
  3. Step 3: Cross multiply
    11,196.18x = 16,794.27 × 3,405
  4. Step 4: Simplify right side
    11,196.18x = 57,184,489.35
  5. Step 5: Solve for x
    x = 57,184,489.35/11,196.18
  6. Step 6: Final answer
    x = 5,107.50

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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.