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Finding the Fourth Proportional to 11,980.01, 17,966.97 and 7,822.28

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Solution

The fourth proportional to 11,980.01, 17,966.97 and 7,822.28 is: 11,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.01 : 17,966.97 = 7,822.28 : x
  2. Step 2: Convert to fraction form
    11,980.01/17,966.97 = 7,822.28/x
  3. Step 3: Cross multiply
    11,980.01x = 17,966.97 × 7,822.28
  4. Step 4: Simplify right side
    11,980.01x = 140,542,670.09
  5. Step 5: Solve for x
    x = 140,542,670.09/11,980.01
  6. Step 6: Final answer
    x = 11,731.43

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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.