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Finding the Fourth Proportional to 8,980.50, 13,467.50 and 3,786.78

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Solution

The fourth proportional to 8,980.50, 13,467.50 and 3,786.78 is: 5,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980.50 : 13,467.50 = 3,786.78 : x
  2. Step 2: Convert to fraction form
    8,980.50/13,467.50 = 3,786.78/x
  3. Step 3: Cross multiply
    8,980.50x = 13,467.50 × 3,786.78
  4. Step 4: Simplify right side
    8,980.50x = 50,998,418.61
  5. Step 5: Solve for x
    x = 50,998,418.61/8,980.50
  6. Step 6: Final answer
    x = 5,678.80

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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.