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Finding the Fourth Proportional to 8,395.24, 11,579.52 and 7,274.20

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Solution

The fourth proportional to 8,395.24, 11,579.52 and 7,274.20 is: 10,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.24 : 11,579.52 = 7,274.20 : x
  2. Step 2: Convert to fraction form
    8,395.24/11,579.52 = 7,274.20/x
  3. Step 3: Cross multiply
    8,395.24x = 11,579.52 × 7,274.20
  4. Step 4: Simplify right side
    8,395.24x = 84,231,744.38
  5. Step 5: Solve for x
    x = 84,231,744.38/8,395.24
  6. Step 6: Final answer
    x = 10,033.27

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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.