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Finding the Fourth Proportional to 8,257.26, 11,394.94 and 4,480.42

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Solution

The fourth proportional to 8,257.26, 11,394.94 and 4,480.42 is: 6,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.26 : 11,394.94 = 4,480.42 : x
  2. Step 2: Convert to fraction form
    8,257.26/11,394.94 = 4,480.42/x
  3. Step 3: Cross multiply
    8,257.26x = 11,394.94 × 4,480.42
  4. Step 4: Simplify right side
    8,257.26x = 51,054,117.07
  5. Step 5: Solve for x
    x = 51,054,117.07/8,257.26
  6. Step 6: Final answer
    x = 6,182.94

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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.