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Finding the Fourth Proportional to 8,622.38, 11,933.09 and 8,415.33

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Solution

The fourth proportional to 8,622.38, 11,933.09 and 8,415.33 is: 11,646.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.38 : 11,933.09 = 8,415.33 : x
  2. Step 2: Convert to fraction form
    8,622.38/11,933.09 = 8,415.33/x
  3. Step 3: Cross multiply
    8,622.38x = 11,933.09 × 8,415.33
  4. Step 4: Simplify right side
    8,622.38x = 100,420,835.00
  5. Step 5: Solve for x
    x = 100,420,835.00/8,622.38
  6. Step 6: Final answer
    x = 11,646.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.