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Finding the Fourth Proportional to 11,614.64, 17,423.40 and 3,826.16

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Solution

The fourth proportional to 11,614.64, 17,423.40 and 3,826.16 is: 5,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.64 : 17,423.40 = 3,826.16 : x
  2. Step 2: Convert to fraction form
    11,614.64/17,423.40 = 3,826.16/x
  3. Step 3: Cross multiply
    11,614.64x = 17,423.40 × 3,826.16
  4. Step 4: Simplify right side
    11,614.64x = 66,664,716.14
  5. Step 5: Solve for x
    x = 66,664,716.14/11,614.64
  6. Step 6: Final answer
    x = 5,739.71

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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.