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Finding the Fourth Proportional to 7,890.50, 11,843.04 and 3,997.64

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Solution

The fourth proportional to 7,890.50, 11,843.04 and 3,997.64 is: 6,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,890.50 : 11,843.04 = 3,997.64 : x
  2. Step 2: Convert to fraction form
    7,890.50/11,843.04 = 3,997.64/x
  3. Step 3: Cross multiply
    7,890.50x = 11,843.04 × 3,997.64
  4. Step 4: Simplify right side
    7,890.50x = 47,344,151.21
  5. Step 5: Solve for x
    x = 47,344,151.21/7,890.50
  6. Step 6: Final answer
    x = 6,000.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.