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Finding the Fourth Proportional to 11,974.86, 16,535 and 7,728.03

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Solution

The fourth proportional to 11,974.86, 16,535 and 7,728.03 is: 10,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.86 : 16,535 = 7,728.03 : x
  2. Step 2: Convert to fraction form
    11,974.86/16,535 = 7,728.03/x
  3. Step 3: Cross multiply
    11,974.86x = 16,535 × 7,728.03
  4. Step 4: Simplify right side
    11,974.86x = 127,782,976.05
  5. Step 5: Solve for x
    x = 127,782,976.05/11,974.86
  6. Step 6: Final answer
    x = 10,670.94

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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.