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Finding the Fourth Proportional to 10,894.50, 16,343.10 and 3,498.12

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Solution

The fourth proportional to 10,894.50, 16,343.10 and 3,498.12 is: 5,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.50 : 16,343.10 = 3,498.12 : x
  2. Step 2: Convert to fraction form
    10,894.50/16,343.10 = 3,498.12/x
  3. Step 3: Cross multiply
    10,894.50x = 16,343.10 × 3,498.12
  4. Step 4: Simplify right side
    10,894.50x = 57,170,124.97
  5. Step 5: Solve for x
    x = 57,170,124.97/10,894.50
  6. Step 6: Final answer
    x = 5,247.61

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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.