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Finding the Fourth Proportional to 11,207.80, 16,782.90 and 8,270.20

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Solution

The fourth proportional to 11,207.80, 16,782.90 and 8,270.20 is: 12,384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.80 : 16,782.90 = 8,270.20 : x
  2. Step 2: Convert to fraction form
    11,207.80/16,782.90 = 8,270.20/x
  3. Step 3: Cross multiply
    11,207.80x = 16,782.90 × 8,270.20
  4. Step 4: Simplify right side
    11,207.80x = 138,797,939.58
  5. Step 5: Solve for x
    x = 138,797,939.58/11,207.80
  6. Step 6: Final answer
    x = 12,384.05

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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.