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Finding the Fourth Proportional to 11,889.52, 17,795.72 and 6,334.96

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Solution

The fourth proportional to 11,889.52, 17,795.72 and 6,334.96 is: 9,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.52 : 17,795.72 = 6,334.96 : x
  2. Step 2: Convert to fraction form
    11,889.52/17,795.72 = 6,334.96/x
  3. Step 3: Cross multiply
    11,889.52x = 17,795.72 × 6,334.96
  4. Step 4: Simplify right side
    11,889.52x = 112,735,174.37
  5. Step 5: Solve for x
    x = 112,735,174.37/11,889.52
  6. Step 6: Final answer
    x = 9,481.89

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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.