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Finding the Fourth Proportional to 10,912.95, 16,356.20 and 7,776.09

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Solution

The fourth proportional to 10,912.95, 16,356.20 and 7,776.09 is: 11,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.95 : 16,356.20 = 7,776.09 : x
  2. Step 2: Convert to fraction form
    10,912.95/16,356.20 = 7,776.09/x
  3. Step 3: Cross multiply
    10,912.95x = 16,356.20 × 7,776.09
  4. Step 4: Simplify right side
    10,912.95x = 127,187,244.38
  5. Step 5: Solve for x
    x = 127,187,244.38/10,912.95
  6. Step 6: Final answer
    x = 11,654.71

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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.