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Finding the Fourth Proportional to 7,447.30, 10,273.91 and 5,957.30

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Solution

The fourth proportional to 7,447.30, 10,273.91 and 5,957.30 is: 8,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.30 : 10,273.91 = 5,957.30 : x
  2. Step 2: Convert to fraction form
    7,447.30/10,273.91 = 5,957.30/x
  3. Step 3: Cross multiply
    7,447.30x = 10,273.91 × 5,957.30
  4. Step 4: Simplify right side
    7,447.30x = 61,204,759.94
  5. Step 5: Solve for x
    x = 61,204,759.94/7,447.30
  6. Step 6: Final answer
    x = 8,218.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.