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Finding the Fourth Proportional to 10,797.50, 16,196.84 and 3,402.54

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Solution

The fourth proportional to 10,797.50, 16,196.84 and 3,402.54 is: 5,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.50 : 16,196.84 = 3,402.54 : x
  2. Step 2: Convert to fraction form
    10,797.50/16,196.84 = 3,402.54/x
  3. Step 3: Cross multiply
    10,797.50x = 16,196.84 × 3,402.54
  4. Step 4: Simplify right side
    10,797.50x = 55,110,410.86
  5. Step 5: Solve for x
    x = 55,110,410.86/10,797.50
  6. Step 6: Final answer
    x = 5,104.00

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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.