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Finding the Fourth Proportional to 7,922.54, 11,896.10 and 7,571.95

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Solution

The fourth proportional to 7,922.54, 11,896.10 and 7,571.95 is: 11,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.54 : 11,896.10 = 7,571.95 : x
  2. Step 2: Convert to fraction form
    7,922.54/11,896.10 = 7,571.95/x
  3. Step 3: Cross multiply
    7,922.54x = 11,896.10 × 7,571.95
  4. Step 4: Simplify right side
    7,922.54x = 90,076,674.40
  5. Step 5: Solve for x
    x = 90,076,674.40/7,922.54
  6. Step 6: Final answer
    x = 11,369.67

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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.