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Finding the Fourth Proportional to 8,892.75, 13,343.46 and 5,965.29

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Solution

The fourth proportional to 8,892.75, 13,343.46 and 5,965.29 is: 8,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,892.75 : 13,343.46 = 5,965.29 : x
  2. Step 2: Convert to fraction form
    8,892.75/13,343.46 = 5,965.29/x
  3. Step 3: Cross multiply
    8,892.75x = 13,343.46 × 5,965.29
  4. Step 4: Simplify right side
    8,892.75x = 79,597,608.50
  5. Step 5: Solve for x
    x = 79,597,608.50/8,892.75
  6. Step 6: Final answer
    x = 8,950.84

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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.