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Finding the Fourth Proportional to 8,382.25, 12,568.76 and 2,538.10

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Solution

The fourth proportional to 8,382.25, 12,568.76 and 2,538.10 is: 3,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.25 : 12,568.76 = 2,538.10 : x
  2. Step 2: Convert to fraction form
    8,382.25/12,568.76 = 2,538.10/x
  3. Step 3: Cross multiply
    8,382.25x = 12,568.76 × 2,538.10
  4. Step 4: Simplify right side
    8,382.25x = 31,900,694.22
  5. Step 5: Solve for x
    x = 31,900,694.22/8,382.25
  6. Step 6: Final answer
    x = 3,805.75

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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.