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Finding the Fourth Proportional to 10,241.81, 14,133.97 and 5,765.73

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Solution

The fourth proportional to 10,241.81, 14,133.97 and 5,765.73 is: 7,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.81 : 14,133.97 = 5,765.73 : x
  2. Step 2: Convert to fraction form
    10,241.81/14,133.97 = 5,765.73/x
  3. Step 3: Cross multiply
    10,241.81x = 14,133.97 × 5,765.73
  4. Step 4: Simplify right side
    10,241.81x = 81,492,635.55
  5. Step 5: Solve for x
    x = 81,492,635.55/10,241.81
  6. Step 6: Final answer
    x = 7,956.86

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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.