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Finding the Fourth Proportional to 12,186.56, 16,807.90 and 7,938.96

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Solution

The fourth proportional to 12,186.56, 16,807.90 and 7,938.96 is: 10,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.56 : 16,807.90 = 7,938.96 : x
  2. Step 2: Convert to fraction form
    12,186.56/16,807.90 = 7,938.96/x
  3. Step 3: Cross multiply
    12,186.56x = 16,807.90 × 7,938.96
  4. Step 4: Simplify right side
    12,186.56x = 133,437,245.78
  5. Step 5: Solve for x
    x = 133,437,245.78/12,186.56
  6. Step 6: Final answer
    x = 10,949.54

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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.