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Finding the Fourth Proportional to 7,967.42, 11,956.53 and 2,773.28

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Solution

The fourth proportional to 7,967.42, 11,956.53 and 2,773.28 is: 4,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.42 : 11,956.53 = 2,773.28 : x
  2. Step 2: Convert to fraction form
    7,967.42/11,956.53 = 2,773.28/x
  3. Step 3: Cross multiply
    7,967.42x = 11,956.53 × 2,773.28
  4. Step 4: Simplify right side
    7,967.42x = 33,158,805.52
  5. Step 5: Solve for x
    x = 33,158,805.52/7,967.42
  6. Step 6: Final answer
    x = 4,161.80

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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.