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Finding the Fourth Proportional to 18,592.47, 27,892.15 and 6,116.11

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Solution

The fourth proportional to 18,592.47, 27,892.15 and 6,116.11 is: 9,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.47 : 27,892.15 = 6,116.11 : x
  2. Step 2: Convert to fraction form
    18,592.47/27,892.15 = 6,116.11/x
  3. Step 3: Cross multiply
    18,592.47x = 27,892.15 × 6,116.11
  4. Step 4: Simplify right side
    18,592.47x = 170,591,372.52
  5. Step 5: Solve for x
    x = 170,591,372.52/18,592.47
  6. Step 6: Final answer
    x = 9,175.29

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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.