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Finding the Fourth Proportional to 11,405.68, 17,108.43 and 3,086.54

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Solution

The fourth proportional to 11,405.68, 17,108.43 and 3,086.54 is: 4,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.68 : 17,108.43 = 3,086.54 : x
  2. Step 2: Convert to fraction form
    11,405.68/17,108.43 = 3,086.54/x
  3. Step 3: Cross multiply
    11,405.68x = 17,108.43 × 3,086.54
  4. Step 4: Simplify right side
    11,405.68x = 52,805,820.57
  5. Step 5: Solve for x
    x = 52,805,820.57/11,405.68
  6. Step 6: Final answer
    x = 4,629.78

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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.