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Finding the Fourth Proportional to 7,745.01, 11,619.17 and 2,200.05

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Solution

The fourth proportional to 7,745.01, 11,619.17 and 2,200.05 is: 3,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.01 : 11,619.17 = 2,200.05 : x
  2. Step 2: Convert to fraction form
    7,745.01/11,619.17 = 2,200.05/x
  3. Step 3: Cross multiply
    7,745.01x = 11,619.17 × 2,200.05
  4. Step 4: Simplify right side
    7,745.01x = 25,562,743.96
  5. Step 5: Solve for x
    x = 25,562,743.96/7,745.01
  6. Step 6: Final answer
    x = 3,300.54

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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.