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Finding the Fourth Proportional to 7,940.43, 10,958.09 and 4,796.01

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Solution

The fourth proportional to 7,940.43, 10,958.09 and 4,796.01 is: 6,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.43 : 10,958.09 = 4,796.01 : x
  2. Step 2: Convert to fraction form
    7,940.43/10,958.09 = 4,796.01/x
  3. Step 3: Cross multiply
    7,940.43x = 10,958.09 × 4,796.01
  4. Step 4: Simplify right side
    7,940.43x = 52,555,085.24
  5. Step 5: Solve for x
    x = 52,555,085.24/7,940.43
  6. Step 6: Final answer
    x = 6,618.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.