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Finding the Fourth Proportional to 11,933.88, 17,901 and 4,142.94

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Solution

The fourth proportional to 11,933.88, 17,901 and 4,142.94 is: 6,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.88 : 17,901 = 4,142.94 : x
  2. Step 2: Convert to fraction form
    11,933.88/17,901 = 4,142.94/x
  3. Step 3: Cross multiply
    11,933.88x = 17,901 × 4,142.94
  4. Step 4: Simplify right side
    11,933.88x = 74,162,768.94
  5. Step 5: Solve for x
    x = 74,162,768.94/11,933.88
  6. Step 6: Final answer
    x = 6,214.47

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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.