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Finding the Fourth Proportional to 7,107.26, 9,806.99 and 4,041

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Solution

The fourth proportional to 7,107.26, 9,806.99 and 4,041 is: 5,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.26 : 9,806.99 = 4,041 : x
  2. Step 2: Convert to fraction form
    7,107.26/9,806.99 = 4,041/x
  3. Step 3: Cross multiply
    7,107.26x = 9,806.99 × 4,041
  4. Step 4: Simplify right side
    7,107.26x = 39,630,026.39
  5. Step 5: Solve for x
    x = 39,630,026.39/7,107.26
  6. Step 6: Final answer
    x = 5,576.00

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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.