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Finding the Fourth Proportional to 10,186.63, 14,057.61 and 5,940.64

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Solution

The fourth proportional to 10,186.63, 14,057.61 and 5,940.64 is: 8,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.63 : 14,057.61 = 5,940.64 : x
  2. Step 2: Convert to fraction form
    10,186.63/14,057.61 = 5,940.64/x
  3. Step 3: Cross multiply
    10,186.63x = 14,057.61 × 5,940.64
  4. Step 4: Simplify right side
    10,186.63x = 83,511,135.42
  5. Step 5: Solve for x
    x = 83,511,135.42/10,186.63
  6. Step 6: Final answer
    x = 8,198.11

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