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Finding the Fourth Proportional to 8,201.74, 11,317.26 and 4,664.56

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Solution

The fourth proportional to 8,201.74, 11,317.26 and 4,664.56 is: 6,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.74 : 11,317.26 = 4,664.56 : x
  2. Step 2: Convert to fraction form
    8,201.74/11,317.26 = 4,664.56/x
  3. Step 3: Cross multiply
    8,201.74x = 11,317.26 × 4,664.56
  4. Step 4: Simplify right side
    8,201.74x = 52,790,038.31
  5. Step 5: Solve for x
    x = 52,790,038.31/8,201.74
  6. Step 6: Final answer
    x = 6,436.44

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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.