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Finding the Fourth Proportional to 8,256.92, 11,388.18 and 5,738.98

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Solution

The fourth proportional to 8,256.92, 11,388.18 and 5,738.98 is: 7,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.92 : 11,388.18 = 5,738.98 : x
  2. Step 2: Convert to fraction form
    8,256.92/11,388.18 = 5,738.98/x
  3. Step 3: Cross multiply
    8,256.92x = 11,388.18 × 5,738.98
  4. Step 4: Simplify right side
    8,256.92x = 65,356,537.26
  5. Step 5: Solve for x
    x = 65,356,537.26/8,256.92
  6. Step 6: Final answer
    x = 7,915.37

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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.