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Finding the Fourth Proportional to 7,729.89, 10,667.23 and 4,193.08

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Solution

The fourth proportional to 7,729.89, 10,667.23 and 4,193.08 is: 5,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.89 : 10,667.23 = 4,193.08 : x
  2. Step 2: Convert to fraction form
    7,729.89/10,667.23 = 4,193.08/x
  3. Step 3: Cross multiply
    7,729.89x = 10,667.23 × 4,193.08
  4. Step 4: Simplify right side
    7,729.89x = 44,728,548.77
  5. Step 5: Solve for x
    x = 44,728,548.77/7,729.89
  6. Step 6: Final answer
    x = 5,786.44

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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.