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Finding the Fourth Proportional to 10,120.75, 15,183.75 and 4,859.82

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Solution

The fourth proportional to 10,120.75, 15,183.75 and 4,859.82 is: 7,291.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,120.75 : 15,183.75 = 4,859.82 : x
  2. Step 2: Convert to fraction form
    10,120.75/15,183.75 = 4,859.82/x
  3. Step 3: Cross multiply
    10,120.75x = 15,183.75 × 4,859.82
  4. Step 4: Simplify right side
    10,120.75x = 73,790,352.85
  5. Step 5: Solve for x
    x = 73,790,352.85/10,120.75
  6. Step 6: Final answer
    x = 7,291.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.