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Finding the Fourth Proportional to 11,825.70, 17,739.58 and 3,927.94

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Solution

The fourth proportional to 11,825.70, 17,739.58 and 3,927.94 is: 5,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.70 : 17,739.58 = 3,927.94 : x
  2. Step 2: Convert to fraction form
    11,825.70/17,739.58 = 3,927.94/x
  3. Step 3: Cross multiply
    11,825.70x = 17,739.58 × 3,927.94
  4. Step 4: Simplify right side
    11,825.70x = 69,680,005.87
  5. Step 5: Solve for x
    x = 69,680,005.87/11,825.70
  6. Step 6: Final answer
    x = 5,892.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.