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Finding the Fourth Proportional to 10,957.70, 16,436.43 and 2,749.70

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Solution

The fourth proportional to 10,957.70, 16,436.43 and 2,749.70 is: 4,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.70 : 16,436.43 = 2,749.70 : x
  2. Step 2: Convert to fraction form
    10,957.70/16,436.43 = 2,749.70/x
  3. Step 3: Cross multiply
    10,957.70x = 16,436.43 × 2,749.70
  4. Step 4: Simplify right side
    10,957.70x = 45,195,251.57
  5. Step 5: Solve for x
    x = 45,195,251.57/10,957.70
  6. Step 6: Final answer
    x = 4,124.52

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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.