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Finding the Fourth Proportional to 11,636.73, 17,466.03 and 6,094.05

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Solution

The fourth proportional to 11,636.73, 17,466.03 and 6,094.05 is: 9,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,636.73 : 17,466.03 = 6,094.05 : x
  2. Step 2: Convert to fraction form
    11,636.73/17,466.03 = 6,094.05/x
  3. Step 3: Cross multiply
    11,636.73x = 17,466.03 × 6,094.05
  4. Step 4: Simplify right side
    11,636.73x = 106,438,860.12
  5. Step 5: Solve for x
    x = 106,438,860.12/11,636.73
  6. Step 6: Final answer
    x = 9,146.80

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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.