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Finding the Fourth Proportional to 7,540.76, 10,406.20 and 4,183.60

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Solution

The fourth proportional to 7,540.76, 10,406.20 and 4,183.60 is: 5,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.76 : 10,406.20 = 4,183.60 : x
  2. Step 2: Convert to fraction form
    7,540.76/10,406.20 = 4,183.60/x
  3. Step 3: Cross multiply
    7,540.76x = 10,406.20 × 4,183.60
  4. Step 4: Simplify right side
    7,540.76x = 43,535,378.32
  5. Step 5: Solve for x
    x = 43,535,378.32/7,540.76
  6. Step 6: Final answer
    x = 5,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.