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Finding the Fourth Proportional to 10,894.05, 16,343.19 and 3,497.94

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Solution

The fourth proportional to 10,894.05, 16,343.19 and 3,497.94 is: 5,247.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.05 : 16,343.19 = 3,497.94 : x
  2. Step 2: Convert to fraction form
    10,894.05/16,343.19 = 3,497.94/x
  3. Step 3: Cross multiply
    10,894.05x = 16,343.19 × 3,497.94
  4. Step 4: Simplify right side
    10,894.05x = 57,167,498.03
  5. Step 5: Solve for x
    x = 57,167,498.03/10,894.05
  6. Step 6: Final answer
    x = 5,247.59

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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.