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Finding the Fourth Proportional to 11,882.54, 17,822.40 and 3,118.14

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Solution

The fourth proportional to 11,882.54, 17,822.40 and 3,118.14 is: 4,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.54 : 17,822.40 = 3,118.14 : x
  2. Step 2: Convert to fraction form
    11,882.54/17,822.40 = 3,118.14/x
  3. Step 3: Cross multiply
    11,882.54x = 17,822.40 × 3,118.14
  4. Step 4: Simplify right side
    11,882.54x = 55,572,738.34
  5. Step 5: Solve for x
    x = 55,572,738.34/11,882.54
  6. Step 6: Final answer
    x = 4,676.84

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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.