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Finding the Fourth Proportional to 8,738.54, 11,991.36 and 7,946.54

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Solution

The fourth proportional to 8,738.54, 11,991.36 and 7,946.54 is: 10,904.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.54 : 11,991.36 = 7,946.54 : x
  2. Step 2: Convert to fraction form
    8,738.54/11,991.36 = 7,946.54/x
  3. Step 3: Cross multiply
    8,738.54x = 11,991.36 × 7,946.54
  4. Step 4: Simplify right side
    8,738.54x = 95,289,821.89
  5. Step 5: Solve for x
    x = 95,289,821.89/8,738.54
  6. Step 6: Final answer
    x = 10,904.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.