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Finding the Fourth Proportional to 11,665.44, 17,505.41 and 4,739.94

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Solution

The fourth proportional to 11,665.44, 17,505.41 and 4,739.94 is: 7,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.44 : 17,505.41 = 4,739.94 : x
  2. Step 2: Convert to fraction form
    11,665.44/17,505.41 = 4,739.94/x
  3. Step 3: Cross multiply
    11,665.44x = 17,505.41 × 4,739.94
  4. Step 4: Simplify right side
    11,665.44x = 82,974,539.28
  5. Step 5: Solve for x
    x = 82,974,539.28/11,665.44
  6. Step 6: Final answer
    x = 7,112.85

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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.