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Finding the Fourth Proportional to 11,604.80, 17,409.72 and 3,813.44

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Solution

The fourth proportional to 11,604.80, 17,409.72 and 3,813.44 is: 5,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.80 : 17,409.72 = 3,813.44 : x
  2. Step 2: Convert to fraction form
    11,604.80/17,409.72 = 3,813.44/x
  3. Step 3: Cross multiply
    11,604.80x = 17,409.72 × 3,813.44
  4. Step 4: Simplify right side
    11,604.80x = 66,390,922.64
  5. Step 5: Solve for x
    x = 66,390,922.64/11,604.80
  6. Step 6: Final answer
    x = 5,720.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.