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Finding the Fourth Proportional to 11,902.98, 17,858.10 and 7,514.40

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Solution

The fourth proportional to 11,902.98, 17,858.10 and 7,514.40 is: 11,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.98 : 17,858.10 = 7,514.40 : x
  2. Step 2: Convert to fraction form
    11,902.98/17,858.10 = 7,514.40/x
  3. Step 3: Cross multiply
    11,902.98x = 17,858.10 × 7,514.40
  4. Step 4: Simplify right side
    11,902.98x = 134,192,906.64
  5. Step 5: Solve for x
    x = 134,192,906.64/11,902.98
  6. Step 6: Final answer
    x = 11,273.89

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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.