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Finding the Fourth Proportional to 11,933.73, 16,463.25 and 7,950.96

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Solution

The fourth proportional to 11,933.73, 16,463.25 and 7,950.96 is: 10,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.73 : 16,463.25 = 7,950.96 : x
  2. Step 2: Convert to fraction form
    11,933.73/16,463.25 = 7,950.96/x
  3. Step 3: Cross multiply
    11,933.73x = 16,463.25 × 7,950.96
  4. Step 4: Simplify right side
    11,933.73x = 130,898,642.22
  5. Step 5: Solve for x
    x = 130,898,642.22/11,933.73
  6. Step 6: Final answer
    x = 10,968.80

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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.