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Finding the Fourth Proportional to 10,760, 16,134.60 and 5,209.88

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Solution

The fourth proportional to 10,760, 16,134.60 and 5,209.88 is: 7,812.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760 : 16,134.60 = 5,209.88 : x
  2. Step 2: Convert to fraction form
    10,760/16,134.60 = 5,209.88/x
  3. Step 3: Cross multiply
    10,760x = 16,134.60 × 5,209.88
  4. Step 4: Simplify right side
    10,760x = 84,059,329.85
  5. Step 5: Solve for x
    x = 84,059,329.85/10,760
  6. Step 6: Final answer
    x = 7,812.21

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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.