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Finding the Fourth Proportional to 7,958.31, 10,982.71 and 4,600.83

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Solution

The fourth proportional to 7,958.31, 10,982.71 and 4,600.83 is: 6,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.31 : 10,982.71 = 4,600.83 : x
  2. Step 2: Convert to fraction form
    7,958.31/10,982.71 = 4,600.83/x
  3. Step 3: Cross multiply
    7,958.31x = 10,982.71 × 4,600.83
  4. Step 4: Simplify right side
    7,958.31x = 50,529,593.38
  5. Step 5: Solve for x
    x = 50,529,593.38/7,958.31
  6. Step 6: Final answer
    x = 6,349.28

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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.