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Finding the Fourth Proportional to 8,142.30, 12,213.85 and 4,254.30

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Solution

The fourth proportional to 8,142.30, 12,213.85 and 4,254.30 is: 6,381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.30 : 12,213.85 = 4,254.30 : x
  2. Step 2: Convert to fraction form
    8,142.30/12,213.85 = 4,254.30/x
  3. Step 3: Cross multiply
    8,142.30x = 12,213.85 × 4,254.30
  4. Step 4: Simplify right side
    8,142.30x = 51,961,382.06
  5. Step 5: Solve for x
    x = 51,961,382.06/8,142.30
  6. Step 6: Final answer
    x = 6,381.66

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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.