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Finding the Fourth Proportional to 11,493.16, 17,239.84 and 3,596.02

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Solution

The fourth proportional to 11,493.16, 17,239.84 and 3,596.02 is: 5,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.16 : 17,239.84 = 3,596.02 : x
  2. Step 2: Convert to fraction form
    11,493.16/17,239.84 = 3,596.02/x
  3. Step 3: Cross multiply
    11,493.16x = 17,239.84 × 3,596.02
  4. Step 4: Simplify right side
    11,493.16x = 61,994,757.35
  5. Step 5: Solve for x
    x = 61,994,757.35/11,493.16
  6. Step 6: Final answer
    x = 5,394.06

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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.