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Finding the Fourth Proportional to 7,983.52, 11,980.76 and 2,789.40

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Solution

The fourth proportional to 7,983.52, 11,980.76 and 2,789.40 is: 4,186.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.52 : 11,980.76 = 2,789.40 : x
  2. Step 2: Convert to fraction form
    7,983.52/11,980.76 = 2,789.40/x
  3. Step 3: Cross multiply
    7,983.52x = 11,980.76 × 2,789.40
  4. Step 4: Simplify right side
    7,983.52x = 33,419,131.94
  5. Step 5: Solve for x
    x = 33,419,131.94/7,983.52
  6. Step 6: Final answer
    x = 4,186.01

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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.