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Finding the Fourth Proportional to 7,573.74, 11,352.15 and 3,865.02

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Solution

The fourth proportional to 7,573.74, 11,352.15 and 3,865.02 is: 5,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.74 : 11,352.15 = 3,865.02 : x
  2. Step 2: Convert to fraction form
    7,573.74/11,352.15 = 3,865.02/x
  3. Step 3: Cross multiply
    7,573.74x = 11,352.15 × 3,865.02
  4. Step 4: Simplify right side
    7,573.74x = 43,876,286.79
  5. Step 5: Solve for x
    x = 43,876,286.79/7,573.74
  6. Step 6: Final answer
    x = 5,793.21

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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.