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Finding the Fourth Proportional to 11,364.80, 17,048.04 and 3,044.80

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Solution

The fourth proportional to 11,364.80, 17,048.04 and 3,044.80 is: 4,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.80 : 17,048.04 = 3,044.80 : x
  2. Step 2: Convert to fraction form
    11,364.80/17,048.04 = 3,044.80/x
  3. Step 3: Cross multiply
    11,364.80x = 17,048.04 × 3,044.80
  4. Step 4: Simplify right side
    11,364.80x = 51,907,872.19
  5. Step 5: Solve for x
    x = 51,907,872.19/11,364.80
  6. Step 6: Final answer
    x = 4,567.43

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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.