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Finding the Fourth Proportional to 11,673.37, 16,110.63 and 6,638.34

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Solution

The fourth proportional to 11,673.37, 16,110.63 and 6,638.34 is: 9,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.37 : 16,110.63 = 6,638.34 : x
  2. Step 2: Convert to fraction form
    11,673.37/16,110.63 = 6,638.34/x
  3. Step 3: Cross multiply
    11,673.37x = 16,110.63 × 6,638.34
  4. Step 4: Simplify right side
    11,673.37x = 106,947,849.31
  5. Step 5: Solve for x
    x = 106,947,849.31/11,673.37
  6. Step 6: Final answer
    x = 9,161.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.