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Finding the Fourth Proportional to 8,033.84, 12,054.88 and 3,929.84

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Solution

The fourth proportional to 8,033.84, 12,054.88 and 3,929.84 is: 5,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.84 : 12,054.88 = 3,929.84 : x
  2. Step 2: Convert to fraction form
    8,033.84/12,054.88 = 3,929.84/x
  3. Step 3: Cross multiply
    8,033.84x = 12,054.88 × 3,929.84
  4. Step 4: Simplify right side
    8,033.84x = 47,373,749.62
  5. Step 5: Solve for x
    x = 47,373,749.62/8,033.84
  6. Step 6: Final answer
    x = 5,896.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.