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Finding the Fourth Proportional to 8,000.10, 12,000.15 and 2,805.30

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Solution

The fourth proportional to 8,000.10, 12,000.15 and 2,805.30 is: 4,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.10 : 12,000.15 = 2,805.30 : x
  2. Step 2: Convert to fraction form
    8,000.10/12,000.15 = 2,805.30/x
  3. Step 3: Cross multiply
    8,000.10x = 12,000.15 × 2,805.30
  4. Step 4: Simplify right side
    8,000.10x = 33,664,020.80
  5. Step 5: Solve for x
    x = 33,664,020.80/8,000.10
  6. Step 6: Final answer
    x = 4,207.95

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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.