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Finding the Fourth Proportional to 11,842.14, 17,763.21 and 6,000.42

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Solution

The fourth proportional to 11,842.14, 17,763.21 and 6,000.42 is: 9,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.14 : 17,763.21 = 6,000.42 : x
  2. Step 2: Convert to fraction form
    11,842.14/17,763.21 = 6,000.42/x
  3. Step 3: Cross multiply
    11,842.14x = 17,763.21 × 6,000.42
  4. Step 4: Simplify right side
    11,842.14x = 106,586,720.55
  5. Step 5: Solve for x
    x = 106,586,720.55/11,842.14
  6. Step 6: Final answer
    x = 9,000.63

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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.