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Finding the Fourth Proportional to 10,805.14, 16,207.73 and 6,127.39

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Solution

The fourth proportional to 10,805.14, 16,207.73 and 6,127.39 is: 9,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.14 : 16,207.73 = 6,127.39 : x
  2. Step 2: Convert to fraction form
    10,805.14/16,207.73 = 6,127.39/x
  3. Step 3: Cross multiply
    10,805.14x = 16,207.73 × 6,127.39
  4. Step 4: Simplify right side
    10,805.14x = 99,310,971.05
  5. Step 5: Solve for x
    x = 99,310,971.05/10,805.14
  6. Step 6: Final answer
    x = 9,191.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.