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Finding the Fourth Proportional to 8,119.74, 11,205.20 and 4,393.74

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Solution

The fourth proportional to 8,119.74, 11,205.20 and 4,393.74 is: 6,063.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.74 : 11,205.20 = 4,393.74 : x
  2. Step 2: Convert to fraction form
    8,119.74/11,205.20 = 4,393.74/x
  3. Step 3: Cross multiply
    8,119.74x = 11,205.20 × 4,393.74
  4. Step 4: Simplify right side
    8,119.74x = 49,232,735.45
  5. Step 5: Solve for x
    x = 49,232,735.45/8,119.74
  6. Step 6: Final answer
    x = 6,063.34

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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.