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Finding the Fourth Proportional to 7,967.53, 11,951.29 and 3,794.90

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Solution

The fourth proportional to 7,967.53, 11,951.29 and 3,794.90 is: 5,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.53 : 11,951.29 = 3,794.90 : x
  2. Step 2: Convert to fraction form
    7,967.53/11,951.29 = 3,794.90/x
  3. Step 3: Cross multiply
    7,967.53x = 11,951.29 × 3,794.90
  4. Step 4: Simplify right side
    7,967.53x = 45,353,895.41
  5. Step 5: Solve for x
    x = 45,353,895.41/7,967.53
  6. Step 6: Final answer
    x = 5,692.34

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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.