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Finding the Fourth Proportional to 7,798.21, 11,695.39 and 3,634.27

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Solution

The fourth proportional to 7,798.21, 11,695.39 and 3,634.27 is: 5,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.21 : 11,695.39 = 3,634.27 : x
  2. Step 2: Convert to fraction form
    7,798.21/11,695.39 = 3,634.27/x
  3. Step 3: Cross multiply
    7,798.21x = 11,695.39 × 3,634.27
  4. Step 4: Simplify right side
    7,798.21x = 42,504,166.69
  5. Step 5: Solve for x
    x = 42,504,166.69/7,798.21
  6. Step 6: Final answer
    x = 5,450.50

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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.