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Finding the Fourth Proportional to 10,816.50, 16,231.23 and 4,660.50

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Solution

The fourth proportional to 10,816.50, 16,231.23 and 4,660.50 is: 6,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.50 : 16,231.23 = 4,660.50 : x
  2. Step 2: Convert to fraction form
    10,816.50/16,231.23 = 4,660.50/x
  3. Step 3: Cross multiply
    10,816.50x = 16,231.23 × 4,660.50
  4. Step 4: Simplify right side
    10,816.50x = 75,645,647.42
  5. Step 5: Solve for x
    x = 75,645,647.42/10,816.50
  6. Step 6: Final answer
    x = 6,993.54

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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.