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Finding the Fourth Proportional to 7,863.76, 11,795.25 and 2,933.01

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Solution

The fourth proportional to 7,863.76, 11,795.25 and 2,933.01 is: 4,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.76 : 11,795.25 = 2,933.01 : x
  2. Step 2: Convert to fraction form
    7,863.76/11,795.25 = 2,933.01/x
  3. Step 3: Cross multiply
    7,863.76x = 11,795.25 × 2,933.01
  4. Step 4: Simplify right side
    7,863.76x = 34,595,571.54
  5. Step 5: Solve for x
    x = 34,595,571.54/7,863.76
  6. Step 6: Final answer
    x = 4,399.37

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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.