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Finding the Fourth Proportional to 11,492.82, 17,239.82 and 3,172.66

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Solution

The fourth proportional to 11,492.82, 17,239.82 and 3,172.66 is: 4,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.82 : 17,239.82 = 3,172.66 : x
  2. Step 2: Convert to fraction form
    11,492.82/17,239.82 = 3,172.66/x
  3. Step 3: Cross multiply
    11,492.82x = 17,239.82 × 3,172.66
  4. Step 4: Simplify right side
    11,492.82x = 54,696,087.32
  5. Step 5: Solve for x
    x = 54,696,087.32/11,492.82
  6. Step 6: Final answer
    x = 4,759.15

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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.