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Finding the Fourth Proportional to 8,384.31, 11,568.24 and 5,028.48

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Solution

The fourth proportional to 8,384.31, 11,568.24 and 5,028.48 is: 6,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.31 : 11,568.24 = 5,028.48 : x
  2. Step 2: Convert to fraction form
    8,384.31/11,568.24 = 5,028.48/x
  3. Step 3: Cross multiply
    8,384.31x = 11,568.24 × 5,028.48
  4. Step 4: Simplify right side
    8,384.31x = 58,170,663.48
  5. Step 5: Solve for x
    x = 58,170,663.48/8,384.31
  6. Step 6: Final answer
    x = 6,938.04

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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.