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Finding the Fourth Proportional to 10,771.94, 16,157.70 and 5,225.73

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Solution

The fourth proportional to 10,771.94, 16,157.70 and 5,225.73 is: 7,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.94 : 16,157.70 = 5,225.73 : x
  2. Step 2: Convert to fraction form
    10,771.94/16,157.70 = 5,225.73/x
  3. Step 3: Cross multiply
    10,771.94x = 16,157.70 × 5,225.73
  4. Step 4: Simplify right side
    10,771.94x = 84,435,777.62
  5. Step 5: Solve for x
    x = 84,435,777.62/10,771.94
  6. Step 6: Final answer
    x = 7,838.50

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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.