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Finding the Fourth Proportional to 8,201.85, 11,317.53 and 4,616.37

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Solution

The fourth proportional to 8,201.85, 11,317.53 and 4,616.37 is: 6,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.85 : 11,317.53 = 4,616.37 : x
  2. Step 2: Convert to fraction form
    8,201.85/11,317.53 = 4,616.37/x
  3. Step 3: Cross multiply
    8,201.85x = 11,317.53 × 4,616.37
  4. Step 4: Simplify right side
    8,201.85x = 52,245,905.97
  5. Step 5: Solve for x
    x = 52,245,905.97/8,201.85
  6. Step 6: Final answer
    x = 6,370.01

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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.