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Finding the Fourth Proportional to 11,617.16, 17,426.52 and 3,826.04

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Solution

The fourth proportional to 11,617.16, 17,426.52 and 3,826.04 is: 5,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.16 : 17,426.52 = 3,826.04 : x
  2. Step 2: Convert to fraction form
    11,617.16/17,426.52 = 3,826.04/x
  3. Step 3: Cross multiply
    11,617.16x = 17,426.52 × 3,826.04
  4. Step 4: Simplify right side
    11,617.16x = 66,674,562.58
  5. Step 5: Solve for x
    x = 66,674,562.58/11,617.16
  6. Step 6: Final answer
    x = 5,739.32

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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.