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Finding the Fourth Proportional to 10,901.92, 16,354.48 and 3,503.94

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Solution

The fourth proportional to 10,901.92, 16,354.48 and 3,503.94 is: 5,256.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.92 : 16,354.48 = 3,503.94 : x
  2. Step 2: Convert to fraction form
    10,901.92/16,354.48 = 3,503.94/x
  3. Step 3: Cross multiply
    10,901.92x = 16,354.48 × 3,503.94
  4. Step 4: Simplify right side
    10,901.92x = 57,305,116.65
  5. Step 5: Solve for x
    x = 57,305,116.65/10,901.92
  6. Step 6: Final answer
    x = 5,256.42

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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.