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Finding the Fourth Proportional to 11,842.13, 17,765.64 and 4,446.56

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Solution

The fourth proportional to 11,842.13, 17,765.64 and 4,446.56 is: 6,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.13 : 17,765.64 = 4,446.56 : x
  2. Step 2: Convert to fraction form
    11,842.13/17,765.64 = 4,446.56/x
  3. Step 3: Cross multiply
    11,842.13x = 17,765.64 × 4,446.56
  4. Step 4: Simplify right side
    11,842.13x = 78,995,984.20
  5. Step 5: Solve for x
    x = 78,995,984.20/11,842.13
  6. Step 6: Final answer
    x = 6,670.76

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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.