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Finding the Fourth Proportional to 11,594.76, 17,391.21 and 3,274.44

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Solution

The fourth proportional to 11,594.76, 17,391.21 and 3,274.44 is: 4,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.76 : 17,391.21 = 3,274.44 : x
  2. Step 2: Convert to fraction form
    11,594.76/17,391.21 = 3,274.44/x
  3. Step 3: Cross multiply
    11,594.76x = 17,391.21 × 3,274.44
  4. Step 4: Simplify right side
    11,594.76x = 56,946,473.67
  5. Step 5: Solve for x
    x = 56,946,473.67/11,594.76
  6. Step 6: Final answer
    x = 4,911.40

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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.