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Finding the Fourth Proportional to 11,892.71, 16,410.39 and 6,857.12

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Solution

The fourth proportional to 11,892.71, 16,410.39 and 6,857.12 is: 9,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.71 : 16,410.39 = 6,857.12 : x
  2. Step 2: Convert to fraction form
    11,892.71/16,410.39 = 6,857.12/x
  3. Step 3: Cross multiply
    11,892.71x = 16,410.39 × 6,857.12
  4. Step 4: Simplify right side
    11,892.71x = 112,528,013.48
  5. Step 5: Solve for x
    x = 112,528,013.48/11,892.71
  6. Step 6: Final answer
    x = 9,461.93

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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.