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Finding the Fourth Proportional to 7,951.64, 11,922.73 and 3,021.64

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Solution

The fourth proportional to 7,951.64, 11,922.73 and 3,021.64 is: 4,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.64 : 11,922.73 = 3,021.64 : x
  2. Step 2: Convert to fraction form
    7,951.64/11,922.73 = 3,021.64/x
  3. Step 3: Cross multiply
    7,951.64x = 11,922.73 × 3,021.64
  4. Step 4: Simplify right side
    7,951.64x = 36,026,160.52
  5. Step 5: Solve for x
    x = 36,026,160.52/7,951.64
  6. Step 6: Final answer
    x = 4,530.66

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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.