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Finding the Fourth Proportional to 10,861.45, 16,224.79 and 7,876.20

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Solution

The fourth proportional to 10,861.45, 16,224.79 and 7,876.20 is: 11,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.45 : 16,224.79 = 7,876.20 : x
  2. Step 2: Convert to fraction form
    10,861.45/16,224.79 = 7,876.20/x
  3. Step 3: Cross multiply
    10,861.45x = 16,224.79 × 7,876.20
  4. Step 4: Simplify right side
    10,861.45x = 127,789,570.49
  5. Step 5: Solve for x
    x = 127,789,570.49/10,861.45
  6. Step 6: Final answer
    x = 11,765.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.