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Finding the Fourth Proportional to 11,174.71, 16,764.12 and 3,678.70

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Solution

The fourth proportional to 11,174.71, 16,764.12 and 3,678.70 is: 5,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.71 : 16,764.12 = 3,678.70 : x
  2. Step 2: Convert to fraction form
    11,174.71/16,764.12 = 3,678.70/x
  3. Step 3: Cross multiply
    11,174.71x = 16,764.12 × 3,678.70
  4. Step 4: Simplify right side
    11,174.71x = 61,670,168.24
  5. Step 5: Solve for x
    x = 61,670,168.24/11,174.71
  6. Step 6: Final answer
    x = 5,518.73

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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.