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Finding the Fourth Proportional to 10,894.56, 16,338.06 and 3,101.28

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Solution

The fourth proportional to 10,894.56, 16,338.06 and 3,101.28 is: 4,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.56 : 16,338.06 = 3,101.28 : x
  2. Step 2: Convert to fraction form
    10,894.56/16,338.06 = 3,101.28/x
  3. Step 3: Cross multiply
    10,894.56x = 16,338.06 × 3,101.28
  4. Step 4: Simplify right side
    10,894.56x = 50,668,898.72
  5. Step 5: Solve for x
    x = 50,668,898.72/10,894.56
  6. Step 6: Final answer
    x = 4,650.84

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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.