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Finding the Fourth Proportional to 10,496.41, 15,744.54 and 3,100.23

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Solution

The fourth proportional to 10,496.41, 15,744.54 and 3,100.23 is: 4,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.41 : 15,744.54 = 3,100.23 : x
  2. Step 2: Convert to fraction form
    10,496.41/15,744.54 = 3,100.23/x
  3. Step 3: Cross multiply
    10,496.41x = 15,744.54 × 3,100.23
  4. Step 4: Simplify right side
    10,496.41x = 48,811,706.87
  5. Step 5: Solve for x
    x = 48,811,706.87/10,496.41
  6. Step 6: Final answer
    x = 4,650.33

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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.