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Finding the Fourth Proportional to 10,027.89, 13,839.69 and 5,836.14

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Solution

The fourth proportional to 10,027.89, 13,839.69 and 5,836.14 is: 8,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.89 : 13,839.69 = 5,836.14 : x
  2. Step 2: Convert to fraction form
    10,027.89/13,839.69 = 5,836.14/x
  3. Step 3: Cross multiply
    10,027.89x = 13,839.69 × 5,836.14
  4. Step 4: Simplify right side
    10,027.89x = 80,770,368.40
  5. Step 5: Solve for x
    x = 80,770,368.40/10,027.89
  6. Step 6: Final answer
    x = 8,054.57

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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.