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Finding the Fourth Proportional to 11,594.62, 17,391.62 and 3,275.21

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Solution

The fourth proportional to 11,594.62, 17,391.62 and 3,275.21 is: 4,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.62 : 17,391.62 = 3,275.21 : x
  2. Step 2: Convert to fraction form
    11,594.62/17,391.62 = 3,275.21/x
  3. Step 3: Cross multiply
    11,594.62x = 17,391.62 × 3,275.21
  4. Step 4: Simplify right side
    11,594.62x = 56,961,207.74
  5. Step 5: Solve for x
    x = 56,961,207.74/11,594.62
  6. Step 6: Final answer
    x = 4,912.73

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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.