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Finding the Fourth Proportional to 8,032.28, 12,021.42 and 7,725.56

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Solution

The fourth proportional to 8,032.28, 12,021.42 and 7,725.56 is: 11,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.28 : 12,021.42 = 7,725.56 : x
  2. Step 2: Convert to fraction form
    8,032.28/12,021.42 = 7,725.56/x
  3. Step 3: Cross multiply
    8,032.28x = 12,021.42 × 7,725.56
  4. Step 4: Simplify right side
    8,032.28x = 92,872,201.50
  5. Step 5: Solve for x
    x = 92,872,201.50/8,032.28
  6. Step 6: Final answer
    x = 11,562.37

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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.