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Finding the Fourth Proportional to 11,777.27, 16,265.34 and 7,311.65

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Solution

The fourth proportional to 11,777.27, 16,265.34 and 7,311.65 is: 10,097.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.27 : 16,265.34 = 7,311.65 : x
  2. Step 2: Convert to fraction form
    11,777.27/16,265.34 = 7,311.65/x
  3. Step 3: Cross multiply
    11,777.27x = 16,265.34 × 7,311.65
  4. Step 4: Simplify right side
    11,777.27x = 118,926,391.88
  5. Step 5: Solve for x
    x = 118,926,391.88/11,777.27
  6. Step 6: Final answer
    x = 10,097.96

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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.