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Finding the Fourth Proportional to 8,648.38, 11,922.73 and 7,309.54

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Solution

The fourth proportional to 8,648.38, 11,922.73 and 7,309.54 is: 10,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.38 : 11,922.73 = 7,309.54 : x
  2. Step 2: Convert to fraction form
    8,648.38/11,922.73 = 7,309.54/x
  3. Step 3: Cross multiply
    8,648.38x = 11,922.73 × 7,309.54
  4. Step 4: Simplify right side
    8,648.38x = 87,149,671.84
  5. Step 5: Solve for x
    x = 87,149,671.84/8,648.38
  6. Step 6: Final answer
    x = 10,076.99

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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.