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Finding the Fourth Proportional to 8,230.75, 11,358.44 and 4,504.75

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Solution

The fourth proportional to 8,230.75, 11,358.44 and 4,504.75 is: 6,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.75 : 11,358.44 = 4,504.75 : x
  2. Step 2: Convert to fraction form
    8,230.75/11,358.44 = 4,504.75/x
  3. Step 3: Cross multiply
    8,230.75x = 11,358.44 × 4,504.75
  4. Step 4: Simplify right side
    8,230.75x = 51,166,932.59
  5. Step 5: Solve for x
    x = 51,166,932.59/8,230.75
  6. Step 6: Final answer
    x = 6,216.56

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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.