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Finding the Fourth Proportional to 8,318.96, 11,480.28 and 4,782.80

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Solution

The fourth proportional to 8,318.96, 11,480.28 and 4,782.80 is: 6,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.96 : 11,480.28 = 4,782.80 : x
  2. Step 2: Convert to fraction form
    8,318.96/11,480.28 = 4,782.80/x
  3. Step 3: Cross multiply
    8,318.96x = 11,480.28 × 4,782.80
  4. Step 4: Simplify right side
    8,318.96x = 54,907,883.18
  5. Step 5: Solve for x
    x = 54,907,883.18/8,318.96
  6. Step 6: Final answer
    x = 6,600.33

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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.