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Finding the Fourth Proportional to 11,797.85, 17,675.91 and 6,238.86

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Solution

The fourth proportional to 11,797.85, 17,675.91 and 6,238.86 is: 9,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.85 : 17,675.91 = 6,238.86 : x
  2. Step 2: Convert to fraction form
    11,797.85/17,675.91 = 6,238.86/x
  3. Step 3: Cross multiply
    11,797.85x = 17,675.91 × 6,238.86
  4. Step 4: Simplify right side
    11,797.85x = 110,277,527.86
  5. Step 5: Solve for x
    x = 110,277,527.86/11,797.85
  6. Step 6: Final answer
    x = 9,347.26

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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.