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Finding the Fourth Proportional to 10,694.01, 16,041 and 4,769.37

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Solution

The fourth proportional to 10,694.01, 16,041 and 4,769.37 is: 7,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.01 : 16,041 = 4,769.37 : x
  2. Step 2: Convert to fraction form
    10,694.01/16,041 = 4,769.37/x
  3. Step 3: Cross multiply
    10,694.01x = 16,041 × 4,769.37
  4. Step 4: Simplify right side
    10,694.01x = 76,505,464.17
  5. Step 5: Solve for x
    x = 76,505,464.17/10,694.01
  6. Step 6: Final answer
    x = 7,154.05

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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.