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Finding the Fourth Proportional to 11,962, 17,945.88 and 3,754

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Solution

The fourth proportional to 11,962, 17,945.88 and 3,754 is: 5,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962 : 17,945.88 = 3,754 : x
  2. Step 2: Convert to fraction form
    11,962/17,945.88 = 3,754/x
  3. Step 3: Cross multiply
    11,962x = 17,945.88 × 3,754
  4. Step 4: Simplify right side
    11,962x = 67,368,833.52
  5. Step 5: Solve for x
    x = 67,368,833.52/11,962
  6. Step 6: Final answer
    x = 5,631.90

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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.