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Finding the Fourth Proportional to 11,797.76, 17,684.30 and 4,399

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Solution

The fourth proportional to 11,797.76, 17,684.30 and 4,399 is: 6,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.76 : 17,684.30 = 4,399 : x
  2. Step 2: Convert to fraction form
    11,797.76/17,684.30 = 4,399/x
  3. Step 3: Cross multiply
    11,797.76x = 17,684.30 × 4,399
  4. Step 4: Simplify right side
    11,797.76x = 77,793,235.70
  5. Step 5: Solve for x
    x = 77,793,235.70/11,797.76
  6. Step 6: Final answer
    x = 6,593.90

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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.