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Finding the Fourth Proportional to 11,384.80, 17,077.17 and 3,176.80

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Solution

The fourth proportional to 11,384.80, 17,077.17 and 3,176.80 is: 4,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.80 : 17,077.17 = 3,176.80 : x
  2. Step 2: Convert to fraction form
    11,384.80/17,077.17 = 3,176.80/x
  3. Step 3: Cross multiply
    11,384.80x = 17,077.17 × 3,176.80
  4. Step 4: Simplify right side
    11,384.80x = 54,250,753.66
  5. Step 5: Solve for x
    x = 54,250,753.66/11,384.80
  6. Step 6: Final answer
    x = 4,765.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.