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Finding the Fourth Proportional to 7,926.10, 11,892.47 and 3,481.47

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Solution

The fourth proportional to 7,926.10, 11,892.47 and 3,481.47 is: 5,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.10 : 11,892.47 = 3,481.47 : x
  2. Step 2: Convert to fraction form
    7,926.10/11,892.47 = 3,481.47/x
  3. Step 3: Cross multiply
    7,926.10x = 11,892.47 × 3,481.47
  4. Step 4: Simplify right side
    7,926.10x = 41,403,260.12
  5. Step 5: Solve for x
    x = 41,403,260.12/7,926.10
  6. Step 6: Final answer
    x = 5,223.66

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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.