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Finding the Fourth Proportional to 7,983.56, 11,964.80 and 4,473.48

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Solution

The fourth proportional to 7,983.56, 11,964.80 and 4,473.48 is: 6,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.56 : 11,964.80 = 4,473.48 : x
  2. Step 2: Convert to fraction form
    7,983.56/11,964.80 = 4,473.48/x
  3. Step 3: Cross multiply
    7,983.56x = 11,964.80 × 4,473.48
  4. Step 4: Simplify right side
    7,983.56x = 53,524,293.50
  5. Step 5: Solve for x
    x = 53,524,293.50/7,983.56
  6. Step 6: Final answer
    x = 6,704.31

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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.