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Finding the Fourth Proportional to 12,186.87, 16,812.08 and 7,936.40

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Solution

The fourth proportional to 12,186.87, 16,812.08 and 7,936.40 is: 10,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.87 : 16,812.08 = 7,936.40 : x
  2. Step 2: Convert to fraction form
    12,186.87/16,812.08 = 7,936.40/x
  3. Step 3: Cross multiply
    12,186.87x = 16,812.08 × 7,936.40
  4. Step 4: Simplify right side
    12,186.87x = 133,427,267.97
  5. Step 5: Solve for x
    x = 133,427,267.97/12,186.87
  6. Step 6: Final answer
    x = 10,948.44

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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.