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Finding the Fourth Proportional to 11,818.96, 17,731.12 and 3,924

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Solution

The fourth proportional to 11,818.96, 17,731.12 and 3,924 is: 5,886.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.96 : 17,731.12 = 3,924 : x
  2. Step 2: Convert to fraction form
    11,818.96/17,731.12 = 3,924/x
  3. Step 3: Cross multiply
    11,818.96x = 17,731.12 × 3,924
  4. Step 4: Simplify right side
    11,818.96x = 69,576,914.88
  5. Step 5: Solve for x
    x = 69,576,914.88/11,818.96
  6. Step 6: Final answer
    x = 5,886.89

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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.