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Finding the Fourth Proportional to 7,959.57, 11,941.74 and 3,213.29

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Solution

The fourth proportional to 7,959.57, 11,941.74 and 3,213.29 is: 4,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.57 : 11,941.74 = 3,213.29 : x
  2. Step 2: Convert to fraction form
    7,959.57/11,941.74 = 3,213.29/x
  3. Step 3: Cross multiply
    7,959.57x = 11,941.74 × 3,213.29
  4. Step 4: Simplify right side
    7,959.57x = 38,372,214.02
  5. Step 5: Solve for x
    x = 38,372,214.02/7,959.57
  6. Step 6: Final answer
    x = 4,820.89

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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.