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Finding the Fourth Proportional to 11,907.88, 17,847.58 and 4,112.36

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Solution

The fourth proportional to 11,907.88, 17,847.58 and 4,112.36 is: 6,163.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.88 : 17,847.58 = 4,112.36 : x
  2. Step 2: Convert to fraction form
    11,907.88/17,847.58 = 4,112.36/x
  3. Step 3: Cross multiply
    11,907.88x = 17,847.58 × 4,112.36
  4. Step 4: Simplify right side
    11,907.88x = 73,395,674.09
  5. Step 5: Solve for x
    x = 73,395,674.09/11,907.88
  6. Step 6: Final answer
    x = 6,163.62

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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.