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Finding the Fourth Proportional to 8,166.42, 11,269.86 and 4,581.24

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Solution

The fourth proportional to 8,166.42, 11,269.86 and 4,581.24 is: 6,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.42 : 11,269.86 = 4,581.24 : x
  2. Step 2: Convert to fraction form
    8,166.42/11,269.86 = 4,581.24/x
  3. Step 3: Cross multiply
    8,166.42x = 11,269.86 × 4,581.24
  4. Step 4: Simplify right side
    8,166.42x = 51,629,933.43
  5. Step 5: Solve for x
    x = 51,629,933.43/8,166.42
  6. Step 6: Final answer
    x = 6,322.22

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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.