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Finding the Fourth Proportional to 8,382.96, 12,570.39 and 2,538.27

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Solution

The fourth proportional to 8,382.96, 12,570.39 and 2,538.27 is: 3,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.96 : 12,570.39 = 2,538.27 : x
  2. Step 2: Convert to fraction form
    8,382.96/12,570.39 = 2,538.27/x
  3. Step 3: Cross multiply
    8,382.96x = 12,570.39 × 2,538.27
  4. Step 4: Simplify right side
    8,382.96x = 31,907,043.83
  5. Step 5: Solve for x
    x = 31,907,043.83/8,382.96
  6. Step 6: Final answer
    x = 3,806.18

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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.