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Finding the Fourth Proportional to 8,201.49, 11,319.74 and 5,216.75

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Solution

The fourth proportional to 8,201.49, 11,319.74 and 5,216.75 is: 7,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.49 : 11,319.74 = 5,216.75 : x
  2. Step 2: Convert to fraction form
    8,201.49/11,319.74 = 5,216.75/x
  3. Step 3: Cross multiply
    8,201.49x = 11,319.74 × 5,216.75
  4. Step 4: Simplify right side
    8,201.49x = 59,052,253.65
  5. Step 5: Solve for x
    x = 59,052,253.65/8,201.49
  6. Step 6: Final answer
    x = 7,200.19

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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.