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Finding the Fourth Proportional to 7,949.88, 11,927.70 and 3,843

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Solution

The fourth proportional to 7,949.88, 11,927.70 and 3,843 is: 5,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.88 : 11,927.70 = 3,843 : x
  2. Step 2: Convert to fraction form
    7,949.88/11,927.70 = 3,843/x
  3. Step 3: Cross multiply
    7,949.88x = 11,927.70 × 3,843
  4. Step 4: Simplify right side
    7,949.88x = 45,838,151.10
  5. Step 5: Solve for x
    x = 45,838,151.10/7,949.88
  6. Step 6: Final answer
    x = 5,765.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.