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Finding the Fourth Proportional to 11,624.63, 17,436.94 and 3,834.05

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Solution

The fourth proportional to 11,624.63, 17,436.94 and 3,834.05 is: 5,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.63 : 17,436.94 = 3,834.05 : x
  2. Step 2: Convert to fraction form
    11,624.63/17,436.94 = 3,834.05/x
  3. Step 3: Cross multiply
    11,624.63x = 17,436.94 × 3,834.05
  4. Step 4: Simplify right side
    11,624.63x = 66,854,003.04
  5. Step 5: Solve for x
    x = 66,854,003.04/11,624.63
  6. Step 6: Final answer
    x = 5,751.07

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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.