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Finding the Fourth Proportional to 7,462.60, 11,180.90 and 3,993.64

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Solution

The fourth proportional to 7,462.60, 11,180.90 and 3,993.64 is: 5,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.60 : 11,180.90 = 3,993.64 : x
  2. Step 2: Convert to fraction form
    7,462.60/11,180.90 = 3,993.64/x
  3. Step 3: Cross multiply
    7,462.60x = 11,180.90 × 3,993.64
  4. Step 4: Simplify right side
    7,462.60x = 44,652,489.48
  5. Step 5: Solve for x
    x = 44,652,489.48/7,462.60
  6. Step 6: Final answer
    x = 5,983.50

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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.