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Finding the Fourth Proportional to 11,897, 17,846.60 and 3,131.96

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Solution

The fourth proportional to 11,897, 17,846.60 and 3,131.96 is: 4,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897 : 17,846.60 = 3,131.96 : x
  2. Step 2: Convert to fraction form
    11,897/17,846.60 = 3,131.96/x
  3. Step 3: Cross multiply
    11,897x = 17,846.60 × 3,131.96
  4. Step 4: Simplify right side
    11,897x = 55,894,837.34
  5. Step 5: Solve for x
    x = 55,894,837.34/11,897
  6. Step 6: Final answer
    x = 4,698.23

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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.