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Finding the Fourth Proportional to 7,749.88, 10,694.80 and 4,213.08

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Solution

The fourth proportional to 7,749.88, 10,694.80 and 4,213.08 is: 5,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.88 : 10,694.80 = 4,213.08 : x
  2. Step 2: Convert to fraction form
    7,749.88/10,694.80 = 4,213.08/x
  3. Step 3: Cross multiply
    7,749.88x = 10,694.80 × 4,213.08
  4. Step 4: Simplify right side
    7,749.88x = 45,058,053.25
  5. Step 5: Solve for x
    x = 45,058,053.25/7,749.88
  6. Step 6: Final answer
    x = 5,814.03

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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.