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Finding the Fourth Proportional to 11,974.56, 17,965.08 and 6,784.08

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Solution

The fourth proportional to 11,974.56, 17,965.08 and 6,784.08 is: 10,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.56 : 17,965.08 = 6,784.08 : x
  2. Step 2: Convert to fraction form
    11,974.56/17,965.08 = 6,784.08/x
  3. Step 3: Cross multiply
    11,974.56x = 17,965.08 × 6,784.08
  4. Step 4: Simplify right side
    11,974.56x = 121,876,539.93
  5. Step 5: Solve for x
    x = 121,876,539.93/11,974.56
  6. Step 6: Final answer
    x = 10,177.96

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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.