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Finding the Fourth Proportional to 11,892.98, 16,412.27 and 6,857.17

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Solution

The fourth proportional to 11,892.98, 16,412.27 and 6,857.17 is: 9,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.98 : 16,412.27 = 6,857.17 : x
  2. Step 2: Convert to fraction form
    11,892.98/16,412.27 = 6,857.17/x
  3. Step 3: Cross multiply
    11,892.98x = 16,412.27 × 6,857.17
  4. Step 4: Simplify right side
    11,892.98x = 112,541,650.16
  5. Step 5: Solve for x
    x = 112,541,650.16/11,892.98
  6. Step 6: Final answer
    x = 9,462.86

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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.