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Finding the Fourth Proportional to 11,852.88, 17,780.34 and 3,087.80

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Solution

The fourth proportional to 11,852.88, 17,780.34 and 3,087.80 is: 4,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.88 : 17,780.34 = 3,087.80 : x
  2. Step 2: Convert to fraction form
    11,852.88/17,780.34 = 3,087.80/x
  3. Step 3: Cross multiply
    11,852.88x = 17,780.34 × 3,087.80
  4. Step 4: Simplify right side
    11,852.88x = 54,902,133.85
  5. Step 5: Solve for x
    x = 54,902,133.85/11,852.88
  6. Step 6: Final answer
    x = 4,631.97

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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.