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Finding the Fourth Proportional to 7,729.82, 10,667.07 and 4,193.03

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Solution

The fourth proportional to 7,729.82, 10,667.07 and 4,193.03 is: 5,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.82 : 10,667.07 = 4,193.03 : x
  2. Step 2: Convert to fraction form
    7,729.82/10,667.07 = 4,193.03/x
  3. Step 3: Cross multiply
    7,729.82x = 10,667.07 × 4,193.03
  4. Step 4: Simplify right side
    7,729.82x = 44,727,291.19
  5. Step 5: Solve for x
    x = 44,727,291.19/7,729.82
  6. Step 6: Final answer
    x = 5,786.33

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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.