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Finding the Fourth Proportional to 8,165.71, 11,269.43 and 4,581.31

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Solution

The fourth proportional to 8,165.71, 11,269.43 and 4,581.31 is: 6,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.71 : 11,269.43 = 4,581.31 : x
  2. Step 2: Convert to fraction form
    8,165.71/11,269.43 = 4,581.31/x
  3. Step 3: Cross multiply
    8,165.71x = 11,269.43 × 4,581.31
  4. Step 4: Simplify right side
    8,165.71x = 51,628,739.58
  5. Step 5: Solve for x
    x = 51,628,739.58/8,165.71
  6. Step 6: Final answer
    x = 6,322.63

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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.