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Finding the Fourth Proportional to 8,284.44, 11,430.97 and 4,928.07

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Solution

The fourth proportional to 8,284.44, 11,430.97 and 4,928.07 is: 6,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.44 : 11,430.97 = 4,928.07 : x
  2. Step 2: Convert to fraction form
    8,284.44/11,430.97 = 4,928.07/x
  3. Step 3: Cross multiply
    8,284.44x = 11,430.97 × 4,928.07
  4. Step 4: Simplify right side
    8,284.44x = 56,332,620.33
  5. Step 5: Solve for x
    x = 56,332,620.33/8,284.44
  6. Step 6: Final answer
    x = 6,799.81

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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.