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Finding the Fourth Proportional to 8,254.25, 12,382.41 and 2,708.17

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Solution

The fourth proportional to 8,254.25, 12,382.41 and 2,708.17 is: 4,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.25 : 12,382.41 = 2,708.17 : x
  2. Step 2: Convert to fraction form
    8,254.25/12,382.41 = 2,708.17/x
  3. Step 3: Cross multiply
    8,254.25x = 12,382.41 × 2,708.17
  4. Step 4: Simplify right side
    8,254.25x = 33,533,671.29
  5. Step 5: Solve for x
    x = 33,533,671.29/8,254.25
  6. Step 6: Final answer
    x = 4,062.59

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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.