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Finding the Fourth Proportional to 11,306.94, 16,932.73 and 7,966.98

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Solution

The fourth proportional to 11,306.94, 16,932.73 and 7,966.98 is: 11,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.94 : 16,932.73 = 7,966.98 : x
  2. Step 2: Convert to fraction form
    11,306.94/16,932.73 = 7,966.98/x
  3. Step 3: Cross multiply
    11,306.94x = 16,932.73 × 7,966.98
  4. Step 4: Simplify right side
    11,306.94x = 134,902,797.51
  5. Step 5: Solve for x
    x = 134,902,797.51/11,306.94
  6. Step 6: Final answer
    x = 11,930.97

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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.