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Finding the Fourth Proportional to 11,879.96, 17,824.01 and 4,486.55

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Solution

The fourth proportional to 11,879.96, 17,824.01 and 4,486.55 is: 6,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,879.96 : 17,824.01 = 4,486.55 : x
  2. Step 2: Convert to fraction form
    11,879.96/17,824.01 = 4,486.55/x
  3. Step 3: Cross multiply
    11,879.96x = 17,824.01 × 4,486.55
  4. Step 4: Simplify right side
    11,879.96x = 79,968,200.51
  5. Step 5: Solve for x
    x = 79,968,200.51/11,879.96
  6. Step 6: Final answer
    x = 6,731.36

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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.