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Finding the Fourth Proportional to 11,771.46, 16,246.17 and 7,591.86

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Solution

The fourth proportional to 11,771.46, 16,246.17 and 7,591.86 is: 10,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.46 : 16,246.17 = 7,591.86 : x
  2. Step 2: Convert to fraction form
    11,771.46/16,246.17 = 7,591.86/x
  3. Step 3: Cross multiply
    11,771.46x = 16,246.17 × 7,591.86
  4. Step 4: Simplify right side
    11,771.46x = 123,338,648.18
  5. Step 5: Solve for x
    x = 123,338,648.18/11,771.46
  6. Step 6: Final answer
    x = 10,477.77

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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.