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Finding the Fourth Proportional to 10,735.94, 16,103.73 and 2,944.46

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Solution

The fourth proportional to 10,735.94, 16,103.73 and 2,944.46 is: 4,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.94 : 16,103.73 = 2,944.46 : x
  2. Step 2: Convert to fraction form
    10,735.94/16,103.73 = 2,944.46/x
  3. Step 3: Cross multiply
    10,735.94x = 16,103.73 × 2,944.46
  4. Step 4: Simplify right side
    10,735.94x = 47,416,788.84
  5. Step 5: Solve for x
    x = 47,416,788.84/10,735.94
  6. Step 6: Final answer
    x = 4,416.64

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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.