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Finding the Fourth Proportional to 27,876.50, 41,817.18 and 7,100

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Solution

The fourth proportional to 27,876.50, 41,817.18 and 7,100 is: 10,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876.50 : 41,817.18 = 7,100 : x
  2. Step 2: Convert to fraction form
    27,876.50/41,817.18 = 7,100/x
  3. Step 3: Cross multiply
    27,876.50x = 41,817.18 × 7,100
  4. Step 4: Simplify right side
    27,876.50x = 296,901,978
  5. Step 5: Solve for x
    x = 296,901,978/27,876.50
  6. Step 6: Final answer
    x = 10,650.62

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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.