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Finding the Fourth Proportional to 7,997.81, 12,002.19 and 2,803.70

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Solution

The fourth proportional to 7,997.81, 12,002.19 and 2,803.70 is: 4,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.81 : 12,002.19 = 2,803.70 : x
  2. Step 2: Convert to fraction form
    7,997.81/12,002.19 = 2,803.70/x
  3. Step 3: Cross multiply
    7,997.81x = 12,002.19 × 2,803.70
  4. Step 4: Simplify right side
    7,997.81x = 33,650,540.10
  5. Step 5: Solve for x
    x = 33,650,540.10/7,997.81
  6. Step 6: Final answer
    x = 4,207.47

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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.