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Finding the Fourth Proportional to 7,879.50, 11,823.36 and 5,105.45

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Solution

The fourth proportional to 7,879.50, 11,823.36 and 5,105.45 is: 7,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.50 : 11,823.36 = 5,105.45 : x
  2. Step 2: Convert to fraction form
    7,879.50/11,823.36 = 5,105.45/x
  3. Step 3: Cross multiply
    7,879.50x = 11,823.36 × 5,105.45
  4. Step 4: Simplify right side
    7,879.50x = 60,363,573.31
  5. Step 5: Solve for x
    x = 60,363,573.31/7,879.50
  6. Step 6: Final answer
    x = 7,660.84

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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.