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Finding the Fourth Proportional to 7,745.67, 11,618.46 and 2,551.50

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Solution

The fourth proportional to 7,745.67, 11,618.46 and 2,551.50 is: 3,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.67 : 11,618.46 = 2,551.50 : x
  2. Step 2: Convert to fraction form
    7,745.67/11,618.46 = 2,551.50/x
  3. Step 3: Cross multiply
    7,745.67x = 11,618.46 × 2,551.50
  4. Step 4: Simplify right side
    7,745.67x = 29,644,500.69
  5. Step 5: Solve for x
    x = 29,644,500.69/7,745.67
  6. Step 6: Final answer
    x = 3,827.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.