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Finding the Fourth Proportional to 7,768.29, 11,653.02 and 5,327.31

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Solution

The fourth proportional to 7,768.29, 11,653.02 and 5,327.31 is: 7,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.29 : 11,653.02 = 5,327.31 : x
  2. Step 2: Convert to fraction form
    7,768.29/11,653.02 = 5,327.31/x
  3. Step 3: Cross multiply
    7,768.29x = 11,653.02 × 5,327.31
  4. Step 4: Simplify right side
    7,768.29x = 62,079,249.98
  5. Step 5: Solve for x
    x = 62,079,249.98/7,768.29
  6. Step 6: Final answer
    x = 7,991.37

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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.