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Finding the Fourth Proportional to 8,144.82, 11,238.90 and 4,559.97

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Solution

The fourth proportional to 8,144.82, 11,238.90 and 4,559.97 is: 6,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.82 : 11,238.90 = 4,559.97 : x
  2. Step 2: Convert to fraction form
    8,144.82/11,238.90 = 4,559.97/x
  3. Step 3: Cross multiply
    8,144.82x = 11,238.90 × 4,559.97
  4. Step 4: Simplify right side
    8,144.82x = 51,249,060.88
  5. Step 5: Solve for x
    x = 51,249,060.88/8,144.82
  6. Step 6: Final answer
    x = 6,292.23

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