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Finding the Fourth Proportional to 7,745.67, 11,625.39 and 5,105.79

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Solution

The fourth proportional to 7,745.67, 11,625.39 and 5,105.79 is: 7,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.67 : 11,625.39 = 5,105.79 : x
  2. Step 2: Convert to fraction form
    7,745.67/11,625.39 = 5,105.79/x
  3. Step 3: Cross multiply
    7,745.67x = 11,625.39 × 5,105.79
  4. Step 4: Simplify right side
    7,745.67x = 59,356,800.01
  5. Step 5: Solve for x
    x = 59,356,800.01/7,745.67
  6. Step 6: Final answer
    x = 7,663.22

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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.