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Finding the Fourth Proportional to 8,201.70, 11,317.32 and 4,664.97

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Solution

The fourth proportional to 8,201.70, 11,317.32 and 4,664.97 is: 6,437.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.70 : 11,317.32 = 4,664.97 : x
  2. Step 2: Convert to fraction form
    8,201.70/11,317.32 = 4,664.97/x
  3. Step 3: Cross multiply
    8,201.70x = 11,317.32 × 4,664.97
  4. Step 4: Simplify right side
    8,201.70x = 52,794,958.28
  5. Step 5: Solve for x
    x = 52,794,958.28/8,201.70
  6. Step 6: Final answer
    x = 6,437.08

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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.