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Finding the Fourth Proportional to 11,192.71, 16,789.44 and 3,401.50

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Solution

The fourth proportional to 11,192.71, 16,789.44 and 3,401.50 is: 5,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,192.71 : 16,789.44 = 3,401.50 : x
  2. Step 2: Convert to fraction form
    11,192.71/16,789.44 = 3,401.50/x
  3. Step 3: Cross multiply
    11,192.71x = 16,789.44 × 3,401.50
  4. Step 4: Simplify right side
    11,192.71x = 57,109,280.16
  5. Step 5: Solve for x
    x = 57,109,280.16/11,192.71
  6. Step 6: Final answer
    x = 5,102.36

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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.