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Finding the Fourth Proportional to 12,683.72, 19,027.40 and 3,919.40

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Solution

The fourth proportional to 12,683.72, 19,027.40 and 3,919.40 is: 5,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,683.72 : 19,027.40 = 3,919.40 : x
  2. Step 2: Convert to fraction form
    12,683.72/19,027.40 = 3,919.40/x
  3. Step 3: Cross multiply
    12,683.72x = 19,027.40 × 3,919.40
  4. Step 4: Simplify right side
    12,683.72x = 74,575,991.56
  5. Step 5: Solve for x
    x = 74,575,991.56/12,683.72
  6. Step 6: Final answer
    x = 5,879.66

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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.