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Finding the Fourth Proportional to 11,964.30, 17,945.28 and 4,942.32

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Solution

The fourth proportional to 11,964.30, 17,945.28 and 4,942.32 is: 7,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.30 : 17,945.28 = 4,942.32 : x
  2. Step 2: Convert to fraction form
    11,964.30/17,945.28 = 4,942.32/x
  3. Step 3: Cross multiply
    11,964.30x = 17,945.28 × 4,942.32
  4. Step 4: Simplify right side
    11,964.30x = 88,691,316.25
  5. Step 5: Solve for x
    x = 88,691,316.25/11,964.30
  6. Step 6: Final answer
    x = 7,413.00

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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.