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Finding the Fourth Proportional to 10,676.14, 16,005.92 and 6,919.99

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Solution

The fourth proportional to 10,676.14, 16,005.92 and 6,919.99 is: 10,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.14 : 16,005.92 = 6,919.99 : x
  2. Step 2: Convert to fraction form
    10,676.14/16,005.92 = 6,919.99/x
  3. Step 3: Cross multiply
    10,676.14x = 16,005.92 × 6,919.99
  4. Step 4: Simplify right side
    10,676.14x = 110,760,731.73
  5. Step 5: Solve for x
    x = 110,760,731.73/10,676.14
  6. Step 6: Final answer
    x = 10,374.61

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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.