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Finding the Fourth Proportional to 8,231.35, 11,364.43 and 6,339.36

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Solution

The fourth proportional to 8,231.35, 11,364.43 and 6,339.36 is: 8,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.35 : 11,364.43 = 6,339.36 : x
  2. Step 2: Convert to fraction form
    8,231.35/11,364.43 = 6,339.36/x
  3. Step 3: Cross multiply
    8,231.35x = 11,364.43 × 6,339.36
  4. Step 4: Simplify right side
    8,231.35x = 72,043,233.79
  5. Step 5: Solve for x
    x = 72,043,233.79/8,231.35
  6. Step 6: Final answer
    x = 8,752.30

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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.