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Finding the Fourth Proportional to 8,105.75, 12,144.04 and 7,537.13

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Solution

The fourth proportional to 8,105.75, 12,144.04 and 7,537.13 is: 11,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.75 : 12,144.04 = 7,537.13 : x
  2. Step 2: Convert to fraction form
    8,105.75/12,144.04 = 7,537.13/x
  3. Step 3: Cross multiply
    8,105.75x = 12,144.04 × 7,537.13
  4. Step 4: Simplify right side
    8,105.75x = 91,531,128.64
  5. Step 5: Solve for x
    x = 91,531,128.64/8,105.75
  6. Step 6: Final answer
    x = 11,292.13

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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.