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Finding the Fourth Proportional to 11,883.24, 17,779.44 and 7,380.96

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Solution

The fourth proportional to 11,883.24, 17,779.44 and 7,380.96 is: 11,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.24 : 17,779.44 = 7,380.96 : x
  2. Step 2: Convert to fraction form
    11,883.24/17,779.44 = 7,380.96/x
  3. Step 3: Cross multiply
    11,883.24x = 17,779.44 × 7,380.96
  4. Step 4: Simplify right side
    11,883.24x = 131,229,335.46
  5. Step 5: Solve for x
    x = 131,229,335.46/11,883.24
  6. Step 6: Final answer
    x = 11,043.23

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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.