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Finding the Fourth Proportional to 10,027.98, 13,842.25 and 5,836.23

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Solution

The fourth proportional to 10,027.98, 13,842.25 and 5,836.23 is: 8,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.98 : 13,842.25 = 5,836.23 : x
  2. Step 2: Convert to fraction form
    10,027.98/13,842.25 = 5,836.23/x
  3. Step 3: Cross multiply
    10,027.98x = 13,842.25 × 5,836.23
  4. Step 4: Simplify right side
    10,027.98x = 80,786,540.13
  5. Step 5: Solve for x
    x = 80,786,540.13/10,027.98
  6. Step 6: Final answer
    x = 8,056.11

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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.