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Finding the Fourth Proportional to 11,016.46, 15,197.09 and 7,033.39

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Solution

The fourth proportional to 11,016.46, 15,197.09 and 7,033.39 is: 9,702.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016.46 : 15,197.09 = 7,033.39 : x
  2. Step 2: Convert to fraction form
    11,016.46/15,197.09 = 7,033.39/x
  3. Step 3: Cross multiply
    11,016.46x = 15,197.09 × 7,033.39
  4. Step 4: Simplify right side
    11,016.46x = 106,886,987.68
  5. Step 5: Solve for x
    x = 106,886,987.68/11,016.46
  6. Step 6: Final answer
    x = 9,702.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.