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Finding the Fourth Proportional to 10,241.73, 14,133.04 and 5,765.33

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Solution

The fourth proportional to 10,241.73, 14,133.04 and 5,765.33 is: 7,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.73 : 14,133.04 = 5,765.33 : x
  2. Step 2: Convert to fraction form
    10,241.73/14,133.04 = 5,765.33/x
  3. Step 3: Cross multiply
    10,241.73x = 14,133.04 × 5,765.33
  4. Step 4: Simplify right side
    10,241.73x = 81,481,634.62
  5. Step 5: Solve for x
    x = 81,481,634.62/10,241.73
  6. Step 6: Final answer
    x = 7,955.85

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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.