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Finding the Fourth Proportional to 8,179.92, 11,289.12 and 4,823.84

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Solution

The fourth proportional to 8,179.92, 11,289.12 and 4,823.84 is: 6,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.92 : 11,289.12 = 4,823.84 : x
  2. Step 2: Convert to fraction form
    8,179.92/11,289.12 = 4,823.84/x
  3. Step 3: Cross multiply
    8,179.92x = 11,289.12 × 4,823.84
  4. Step 4: Simplify right side
    8,179.92x = 54,456,908.62
  5. Step 5: Solve for x
    x = 54,456,908.62/8,179.92
  6. Step 6: Final answer
    x = 6,657.39

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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.