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Finding the Fourth Proportional to 11,744.65, 16,198.54 and 7,023.97

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Solution

The fourth proportional to 11,744.65, 16,198.54 and 7,023.97 is: 9,687.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.65 : 16,198.54 = 7,023.97 : x
  2. Step 2: Convert to fraction form
    11,744.65/16,198.54 = 7,023.97/x
  3. Step 3: Cross multiply
    11,744.65x = 16,198.54 × 7,023.97
  4. Step 4: Simplify right side
    11,744.65x = 113,778,059.00
  5. Step 5: Solve for x
    x = 113,778,059.00/11,744.65
  6. Step 6: Final answer
    x = 9,687.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.