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Finding the Fourth Proportional to 7,257.96, 10,892.46 and 4,791.96

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Solution

The fourth proportional to 7,257.96, 10,892.46 and 4,791.96 is: 7,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.96 : 10,892.46 = 4,791.96 : x
  2. Step 2: Convert to fraction form
    7,257.96/10,892.46 = 4,791.96/x
  3. Step 3: Cross multiply
    7,257.96x = 10,892.46 × 4,791.96
  4. Step 4: Simplify right side
    7,257.96x = 52,196,232.62
  5. Step 5: Solve for x
    x = 52,196,232.62/7,257.96
  6. Step 6: Final answer
    x = 7,191.58

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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.