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Finding the Fourth Proportional to 7,963.55, 11,945.27 and 2,040.42

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Solution

The fourth proportional to 7,963.55, 11,945.27 and 2,040.42 is: 3,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.55 : 11,945.27 = 2,040.42 : x
  2. Step 2: Convert to fraction form
    7,963.55/11,945.27 = 2,040.42/x
  3. Step 3: Cross multiply
    7,963.55x = 11,945.27 × 2,040.42
  4. Step 4: Simplify right side
    7,963.55x = 24,373,367.81
  5. Step 5: Solve for x
    x = 24,373,367.81/7,963.55
  6. Step 6: Final answer
    x = 3,060.62

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Why These Related Problems?

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