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Finding the Fourth Proportional to 11,806.23, 17,712.43 and 4,410.75

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Solution

The fourth proportional to 11,806.23, 17,712.43 and 4,410.75 is: 6,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.23 : 17,712.43 = 4,410.75 : x
  2. Step 2: Convert to fraction form
    11,806.23/17,712.43 = 4,410.75/x
  3. Step 3: Cross multiply
    11,806.23x = 17,712.43 × 4,410.75
  4. Step 4: Simplify right side
    11,806.23x = 78,125,100.62
  5. Step 5: Solve for x
    x = 78,125,100.62/11,806.23
  6. Step 6: Final answer
    x = 6,617.28

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