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Finding the Fourth Proportional to 10,961.30, 16,423.05 and 5,105.90

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Solution

The fourth proportional to 10,961.30, 16,423.05 and 5,105.90 is: 7,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,961.30 : 16,423.05 = 5,105.90 : x
  2. Step 2: Convert to fraction form
    10,961.30/16,423.05 = 5,105.90/x
  3. Step 3: Cross multiply
    10,961.30x = 16,423.05 × 5,105.90
  4. Step 4: Simplify right side
    10,961.30x = 83,854,451.00
  5. Step 5: Solve for x
    x = 83,854,451.00/10,961.30
  6. Step 6: Final answer
    x = 7,650.05

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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.