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Finding the Fourth Proportional to 7,975.16, 11,958.72 and 4,644.48

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Solution

The fourth proportional to 7,975.16, 11,958.72 and 4,644.48 is: 6,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.16 : 11,958.72 = 4,644.48 : x
  2. Step 2: Convert to fraction form
    7,975.16/11,958.72 = 4,644.48/x
  3. Step 3: Cross multiply
    7,975.16x = 11,958.72 × 4,644.48
  4. Step 4: Simplify right side
    7,975.16x = 55,542,035.87
  5. Step 5: Solve for x
    x = 55,542,035.87/7,975.16
  6. Step 6: Final answer
    x = 6,964.38

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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.