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Finding the Fourth Proportional to 8,382.25, 12,573.16 and 2,142.31

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Solution

The fourth proportional to 8,382.25, 12,573.16 and 2,142.31 is: 3,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.25 : 12,573.16 = 2,142.31 : x
  2. Step 2: Convert to fraction form
    8,382.25/12,573.16 = 2,142.31/x
  3. Step 3: Cross multiply
    8,382.25x = 12,573.16 × 2,142.31
  4. Step 4: Simplify right side
    8,382.25x = 26,935,606.40
  5. Step 5: Solve for x
    x = 26,935,606.40/8,382.25
  6. Step 6: Final answer
    x = 3,213.41

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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.