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Finding the Fourth Proportional to 11,406.48, 17,109.81 and 3,086.57

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Solution

The fourth proportional to 11,406.48, 17,109.81 and 3,086.57 is: 4,629.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406.48 : 17,109.81 = 3,086.57 : x
  2. Step 2: Convert to fraction form
    11,406.48/17,109.81 = 3,086.57/x
  3. Step 3: Cross multiply
    11,406.48x = 17,109.81 × 3,086.57
  4. Step 4: Simplify right side
    11,406.48x = 52,810,540.70
  5. Step 5: Solve for x
    x = 52,810,540.70/11,406.48
  6. Step 6: Final answer
    x = 4,629.87

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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.