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Finding the Fourth Proportional to 11,892.50, 17,838.75 and 3,127.40

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Solution

The fourth proportional to 11,892.50, 17,838.75 and 3,127.40 is: 4,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.50 : 17,838.75 = 3,127.40 : x
  2. Step 2: Convert to fraction form
    11,892.50/17,838.75 = 3,127.40/x
  3. Step 3: Cross multiply
    11,892.50x = 17,838.75 × 3,127.40
  4. Step 4: Simplify right side
    11,892.50x = 55,788,817.56
  5. Step 5: Solve for x
    x = 55,788,817.56/11,892.50
  6. Step 6: Final answer
    x = 4,691.09

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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.