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Finding the Fourth Proportional to 11,882.44, 17,822.22 and 3,118

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Solution

The fourth proportional to 11,882.44, 17,822.22 and 3,118 is: 4,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.44 : 17,822.22 = 3,118 : x
  2. Step 2: Convert to fraction form
    11,882.44/17,822.22 = 3,118/x
  3. Step 3: Cross multiply
    11,882.44x = 17,822.22 × 3,118
  4. Step 4: Simplify right side
    11,882.44x = 55,569,681.96
  5. Step 5: Solve for x
    x = 55,569,681.96/11,882.44
  6. Step 6: Final answer
    x = 4,676.62

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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.