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Finding the Fourth Proportional to 7,540.79, 10,406.46 and 4,183.50

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Solution

The fourth proportional to 7,540.79, 10,406.46 and 4,183.50 is: 5,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.79 : 10,406.46 = 4,183.50 : x
  2. Step 2: Convert to fraction form
    7,540.79/10,406.46 = 4,183.50/x
  3. Step 3: Cross multiply
    7,540.79x = 10,406.46 × 4,183.50
  4. Step 4: Simplify right side
    7,540.79x = 43,535,425.41
  5. Step 5: Solve for x
    x = 43,535,425.41/7,540.79
  6. Step 6: Final answer
    x = 5,773.32

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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.