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Finding the Fourth Proportional to 11,286.93, 16,940.64 and 7,591.76

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Solution

The fourth proportional to 11,286.93, 16,940.64 and 7,591.76 is: 11,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.93 : 16,940.64 = 7,591.76 : x
  2. Step 2: Convert to fraction form
    11,286.93/16,940.64 = 7,591.76/x
  3. Step 3: Cross multiply
    11,286.93x = 16,940.64 × 7,591.76
  4. Step 4: Simplify right side
    11,286.93x = 128,609,280.42
  5. Step 5: Solve for x
    x = 128,609,280.42/11,286.93
  6. Step 6: Final answer
    x = 11,394.53

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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.