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Finding the Fourth Proportional to 11,138.06, 16,709.50 and 3,347.48

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Solution

The fourth proportional to 11,138.06, 16,709.50 and 3,347.48 is: 5,021.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.06 : 16,709.50 = 3,347.48 : x
  2. Step 2: Convert to fraction form
    11,138.06/16,709.50 = 3,347.48/x
  3. Step 3: Cross multiply
    11,138.06x = 16,709.50 × 3,347.48
  4. Step 4: Simplify right side
    11,138.06x = 55,934,717.06
  5. Step 5: Solve for x
    x = 55,934,717.06/11,138.06
  6. Step 6: Final answer
    x = 5,021.94

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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.