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Finding the Fourth Proportional to 10,241.84, 14,134.01 and 5,765.75

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Solution

The fourth proportional to 10,241.84, 14,134.01 and 5,765.75 is: 7,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.84 : 14,134.01 = 5,765.75 : x
  2. Step 2: Convert to fraction form
    10,241.84/14,134.01 = 5,765.75/x
  3. Step 3: Cross multiply
    10,241.84x = 14,134.01 × 5,765.75
  4. Step 4: Simplify right side
    10,241.84x = 81,493,121.66
  5. Step 5: Solve for x
    x = 81,493,121.66/10,241.84
  6. Step 6: Final answer
    x = 7,956.88

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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.