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Finding the Fourth Proportional to 11,723.66, 17,585.67 and 3,826.14

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Solution

The fourth proportional to 11,723.66, 17,585.67 and 3,826.14 is: 5,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.66 : 17,585.67 = 3,826.14 : x
  2. Step 2: Convert to fraction form
    11,723.66/17,585.67 = 3,826.14/x
  3. Step 3: Cross multiply
    11,723.66x = 17,585.67 × 3,826.14
  4. Step 4: Simplify right side
    11,723.66x = 67,285,235.41
  5. Step 5: Solve for x
    x = 67,285,235.41/11,723.66
  6. Step 6: Final answer
    x = 5,739.27

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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.