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Finding the Fourth Proportional to 12,610.50, 18,914.06 and 5,213.94

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Solution

The fourth proportional to 12,610.50, 18,914.06 and 5,213.94 is: 7,820.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.50 : 18,914.06 = 5,213.94 : x
  2. Step 2: Convert to fraction form
    12,610.50/18,914.06 = 5,213.94/x
  3. Step 3: Cross multiply
    12,610.50x = 18,914.06 × 5,213.94
  4. Step 4: Simplify right side
    12,610.50x = 98,616,747.93
  5. Step 5: Solve for x
    x = 98,616,747.93/12,610.50
  6. Step 6: Final answer
    x = 7,820.21

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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.