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Finding the Fourth Proportional to 11,893.05, 16,412.61 and 6,515.42

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Solution

The fourth proportional to 11,893.05, 16,412.61 and 6,515.42 is: 8,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.05 : 16,412.61 = 6,515.42 : x
  2. Step 2: Convert to fraction form
    11,893.05/16,412.61 = 6,515.42/x
  3. Step 3: Cross multiply
    11,893.05x = 16,412.61 × 6,515.42
  4. Step 4: Simplify right side
    11,893.05x = 106,934,965.38
  5. Step 5: Solve for x
    x = 106,934,965.38/11,893.05
  6. Step 6: Final answer
    x = 8,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.