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Finding the Fourth Proportional to 10,564.50, 15,846.98 and 3,993.78

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Solution

The fourth proportional to 10,564.50, 15,846.98 and 3,993.78 is: 5,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.50 : 15,846.98 = 3,993.78 : x
  2. Step 2: Convert to fraction form
    10,564.50/15,846.98 = 3,993.78/x
  3. Step 3: Cross multiply
    10,564.50x = 15,846.98 × 3,993.78
  4. Step 4: Simplify right side
    10,564.50x = 63,289,351.78
  5. Step 5: Solve for x
    x = 63,289,351.78/10,564.50
  6. Step 6: Final answer
    x = 5,990.76

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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.