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Finding the Fourth Proportional to 11,879.64, 17,806.26 and 6,024.15

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Solution

The fourth proportional to 11,879.64, 17,806.26 and 6,024.15 is: 9,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.64 : 17,806.26 = 6,024.15 : x
  2. Step 2: Convert to fraction form
    11,879.64/17,806.26 = 6,024.15/x
  3. Step 3: Cross multiply
    11,879.64x = 17,806.26 × 6,024.15
  4. Step 4: Simplify right side
    11,879.64x = 107,267,581.18
  5. Step 5: Solve for x
    x = 107,267,581.18/11,879.64
  6. Step 6: Final answer
    x = 9,029.53

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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.