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Finding the Fourth Proportional to 7,749.81, 10,694.79 and 4,213.08

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Solution

The fourth proportional to 7,749.81, 10,694.79 and 4,213.08 is: 5,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.81 : 10,694.79 = 4,213.08 : x
  2. Step 2: Convert to fraction form
    7,749.81/10,694.79 = 4,213.08/x
  3. Step 3: Cross multiply
    7,749.81x = 10,694.79 × 4,213.08
  4. Step 4: Simplify right side
    7,749.81x = 45,058,005.85
  5. Step 5: Solve for x
    x = 45,058,005.85/7,749.81
  6. Step 6: Final answer
    x = 5,814.08

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