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Finding the Fourth Proportional to 11,882.18, 17,823.06 and 4,090.82

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Solution

The fourth proportional to 11,882.18, 17,823.06 and 4,090.82 is: 6,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.18 : 17,823.06 = 4,090.82 : x
  2. Step 2: Convert to fraction form
    11,882.18/17,823.06 = 4,090.82/x
  3. Step 3: Cross multiply
    11,882.18x = 17,823.06 × 4,090.82
  4. Step 4: Simplify right side
    11,882.18x = 72,910,930.31
  5. Step 5: Solve for x
    x = 72,910,930.31/11,882.18
  6. Step 6: Final answer
    x = 6,136.16

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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.