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Finding the Fourth Proportional to 11,626.40, 17,439.52 and 3,835.84

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Solution

The fourth proportional to 11,626.40, 17,439.52 and 3,835.84 is: 5,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.40 : 17,439.52 = 3,835.84 : x
  2. Step 2: Convert to fraction form
    11,626.40/17,439.52 = 3,835.84/x
  3. Step 3: Cross multiply
    11,626.40x = 17,439.52 × 3,835.84
  4. Step 4: Simplify right side
    11,626.40x = 66,895,208.40
  5. Step 5: Solve for x
    x = 66,895,208.40/11,626.40
  6. Step 6: Final answer
    x = 5,753.73

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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.