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Finding the Fourth Proportional to 7,996.70, 12,000.54 and 2,802.57

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Solution

The fourth proportional to 7,996.70, 12,000.54 and 2,802.57 is: 4,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.70 : 12,000.54 = 2,802.57 : x
  2. Step 2: Convert to fraction form
    7,996.70/12,000.54 = 2,802.57/x
  3. Step 3: Cross multiply
    7,996.70x = 12,000.54 × 2,802.57
  4. Step 4: Simplify right side
    7,996.70x = 33,632,353.39
  5. Step 5: Solve for x
    x = 33,632,353.39/7,996.70
  6. Step 6: Final answer
    x = 4,205.78

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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.