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Finding the Fourth Proportional to 8,201.14, 11,317.60 and 4,664.60

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Solution

The fourth proportional to 8,201.14, 11,317.60 and 4,664.60 is: 6,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.14 : 11,317.60 = 4,664.60 : x
  2. Step 2: Convert to fraction form
    8,201.14/11,317.60 = 4,664.60/x
  3. Step 3: Cross multiply
    8,201.14x = 11,317.60 × 4,664.60
  4. Step 4: Simplify right side
    8,201.14x = 52,792,076.96
  5. Step 5: Solve for x
    x = 52,792,076.96/8,201.14
  6. Step 6: Final answer
    x = 6,437.16

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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.