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Finding the Fourth Proportional to 11,953.94, 17,933.33 and 4,163.36

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Solution

The fourth proportional to 11,953.94, 17,933.33 and 4,163.36 is: 6,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.94 : 17,933.33 = 4,163.36 : x
  2. Step 2: Convert to fraction form
    11,953.94/17,933.33 = 4,163.36/x
  3. Step 3: Cross multiply
    11,953.94x = 17,933.33 × 4,163.36
  4. Step 4: Simplify right side
    11,953.94x = 74,662,798.31
  5. Step 5: Solve for x
    x = 74,662,798.31/11,953.94
  6. Step 6: Final answer
    x = 6,245.88

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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.