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Finding the Fourth Proportional to 7,729.94, 10,667.34 and 4,193.17

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Solution

The fourth proportional to 7,729.94, 10,667.34 and 4,193.17 is: 5,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.94 : 10,667.34 = 4,193.17 : x
  2. Step 2: Convert to fraction form
    7,729.94/10,667.34 = 4,193.17/x
  3. Step 3: Cross multiply
    7,729.94x = 10,667.34 × 4,193.17
  4. Step 4: Simplify right side
    7,729.94x = 44,730,003.40
  5. Step 5: Solve for x
    x = 44,730,003.40/7,729.94
  6. Step 6: Final answer
    x = 5,786.59

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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.