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Finding the Fourth Proportional to 8,524.64, 12,786.96 and 3,260.19

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Solution

The fourth proportional to 8,524.64, 12,786.96 and 3,260.19 is: 4,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.64 : 12,786.96 = 3,260.19 : x
  2. Step 2: Convert to fraction form
    8,524.64/12,786.96 = 3,260.19/x
  3. Step 3: Cross multiply
    8,524.64x = 12,786.96 × 3,260.19
  4. Step 4: Simplify right side
    8,524.64x = 41,687,855.19
  5. Step 5: Solve for x
    x = 41,687,855.19/8,524.64
  6. Step 6: Final answer
    x = 4,890.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.