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Finding the Fourth Proportional to 8,344.99, 12,512.02 and 3,409.66

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Solution

The fourth proportional to 8,344.99, 12,512.02 and 3,409.66 is: 5,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.99 : 12,512.02 = 3,409.66 : x
  2. Step 2: Convert to fraction form
    8,344.99/12,512.02 = 3,409.66/x
  3. Step 3: Cross multiply
    8,344.99x = 12,512.02 × 3,409.66
  4. Step 4: Simplify right side
    8,344.99x = 42,661,734.11
  5. Step 5: Solve for x
    x = 42,661,734.11/8,344.99
  6. Step 6: Final answer
    x = 5,112.26

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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.