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Finding the Fourth Proportional to 11,962.98, 17,938.44 and 6,966.97

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Solution

The fourth proportional to 11,962.98, 17,938.44 and 6,966.97 is: 10,446.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.98 : 17,938.44 = 6,966.97 : x
  2. Step 2: Convert to fraction form
    11,962.98/17,938.44 = 6,966.97/x
  3. Step 3: Cross multiply
    11,962.98x = 17,938.44 × 6,966.97
  4. Step 4: Simplify right side
    11,962.98x = 124,976,573.33
  5. Step 5: Solve for x
    x = 124,976,573.33/11,962.98
  6. Step 6: Final answer
    x = 10,446.94

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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.