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Finding the Fourth Proportional to 11,749.14, 17,622.06 and 6,493.86

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Solution

The fourth proportional to 11,749.14, 17,622.06 and 6,493.86 is: 9,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,749.14 : 17,622.06 = 6,493.86 : x
  2. Step 2: Convert to fraction form
    11,749.14/17,622.06 = 6,493.86/x
  3. Step 3: Cross multiply
    11,749.14x = 17,622.06 × 6,493.86
  4. Step 4: Simplify right side
    11,749.14x = 114,435,190.55
  5. Step 5: Solve for x
    x = 114,435,190.55/11,749.14
  6. Step 6: Final answer
    x = 9,739.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.