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Finding the Fourth Proportional to 8,144.88, 11,239.44 and 4,609.20

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Solution

The fourth proportional to 8,144.88, 11,239.44 and 4,609.20 is: 6,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.88 : 11,239.44 = 4,609.20 : x
  2. Step 2: Convert to fraction form
    8,144.88/11,239.44 = 4,609.20/x
  3. Step 3: Cross multiply
    8,144.88x = 11,239.44 × 4,609.20
  4. Step 4: Simplify right side
    8,144.88x = 51,804,826.85
  5. Step 5: Solve for x
    x = 51,804,826.85/8,144.88
  6. Step 6: Final answer
    x = 6,360.42

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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.