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Finding the Fourth Proportional to 11,940.29, 16,462.80 and 7,952.66

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Solution

The fourth proportional to 11,940.29, 16,462.80 and 7,952.66 is: 10,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.29 : 16,462.80 = 7,952.66 : x
  2. Step 2: Convert to fraction form
    11,940.29/16,462.80 = 7,952.66/x
  3. Step 3: Cross multiply
    11,940.29x = 16,462.80 × 7,952.66
  4. Step 4: Simplify right side
    11,940.29x = 130,922,968.73
  5. Step 5: Solve for x
    x = 130,922,968.73/11,940.29
  6. Step 6: Final answer
    x = 10,964.81

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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.