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Finding the Fourth Proportional to 7,959.88, 11,942.72 and 3,853

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Solution

The fourth proportional to 7,959.88, 11,942.72 and 3,853 is: 5,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.88 : 11,942.72 = 3,853 : x
  2. Step 2: Convert to fraction form
    7,959.88/11,942.72 = 3,853/x
  3. Step 3: Cross multiply
    7,959.88x = 11,942.72 × 3,853
  4. Step 4: Simplify right side
    7,959.88x = 46,015,300.16
  5. Step 5: Solve for x
    x = 46,015,300.16/7,959.88
  6. Step 6: Final answer
    x = 5,780.90

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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.