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Finding the Fourth Proportional to 11,054.25, 15,255 and 6,338.97

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Solution

The fourth proportional to 11,054.25, 15,255 and 6,338.97 is: 8,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,054.25 : 15,255 = 6,338.97 : x
  2. Step 2: Convert to fraction form
    11,054.25/15,255 = 6,338.97/x
  3. Step 3: Cross multiply
    11,054.25x = 15,255 × 6,338.97
  4. Step 4: Simplify right side
    11,054.25x = 96,700,987.35
  5. Step 5: Solve for x
    x = 96,700,987.35/11,054.25
  6. Step 6: Final answer
    x = 8,747.86

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