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Finding the Fourth Proportional to 8,254.30, 12,381.41 and 2,921.43

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Solution

The fourth proportional to 8,254.30, 12,381.41 and 2,921.43 is: 4,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.30 : 12,381.41 = 2,921.43 : x
  2. Step 2: Convert to fraction form
    8,254.30/12,381.41 = 2,921.43/x
  3. Step 3: Cross multiply
    8,254.30x = 12,381.41 × 2,921.43
  4. Step 4: Simplify right side
    8,254.30x = 36,171,346.10
  5. Step 5: Solve for x
    x = 36,171,346.10/8,254.30
  6. Step 6: Final answer
    x = 4,382.12

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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.