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Finding the Fourth Proportional to 11,788.98, 17,684.22 and 3,468.84

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Solution

The fourth proportional to 11,788.98, 17,684.22 and 3,468.84 is: 5,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.98 : 17,684.22 = 3,468.84 : x
  2. Step 2: Convert to fraction form
    11,788.98/17,684.22 = 3,468.84/x
  3. Step 3: Cross multiply
    11,788.98x = 17,684.22 × 3,468.84
  4. Step 4: Simplify right side
    11,788.98x = 61,343,729.70
  5. Step 5: Solve for x
    x = 61,343,729.70/11,788.98
  6. Step 6: Final answer
    x = 5,203.48

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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.