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Finding the Fourth Proportional to 11,480.80, 17,198.40 and 9,004

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Solution

The fourth proportional to 11,480.80, 17,198.40 and 9,004 is: 13,488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,480.80 : 17,198.40 = 9,004 : x
  2. Step 2: Convert to fraction form
    11,480.80/17,198.40 = 9,004/x
  3. Step 3: Cross multiply
    11,480.80x = 17,198.40 × 9,004
  4. Step 4: Simplify right side
    11,480.80x = 154,854,393.60
  5. Step 5: Solve for x
    x = 154,854,393.60/11,480.80
  6. Step 6: Final answer
    x = 13,488.12

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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.