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Finding the Fourth Proportional to 8,357.91, 11,524.44 and 6,258.39

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Solution

The fourth proportional to 8,357.91, 11,524.44 and 6,258.39 is: 8,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.91 : 11,524.44 = 6,258.39 : x
  2. Step 2: Convert to fraction form
    8,357.91/11,524.44 = 6,258.39/x
  3. Step 3: Cross multiply
    8,357.91x = 11,524.44 × 6,258.39
  4. Step 4: Simplify right side
    8,357.91x = 72,124,440.05
  5. Step 5: Solve for x
    x = 72,124,440.05/8,357.91
  6. Step 6: Final answer
    x = 8,629.48

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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.