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Finding the Fourth Proportional to 8,142.90, 12,207.06 and 4,250.04

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Solution

The fourth proportional to 8,142.90, 12,207.06 and 4,250.04 is: 6,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.90 : 12,207.06 = 4,250.04 : x
  2. Step 2: Convert to fraction form
    8,142.90/12,207.06 = 4,250.04/x
  3. Step 3: Cross multiply
    8,142.90x = 12,207.06 × 4,250.04
  4. Step 4: Simplify right side
    8,142.90x = 51,880,493.28
  5. Step 5: Solve for x
    x = 51,880,493.28/8,142.90
  6. Step 6: Final answer
    x = 6,371.26

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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.