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Finding the Fourth Proportional to 7,687.38, 11,519.91 and 4,174.41

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Solution

The fourth proportional to 7,687.38, 11,519.91 and 4,174.41 is: 6,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.38 : 11,519.91 = 4,174.41 : x
  2. Step 2: Convert to fraction form
    7,687.38/11,519.91 = 4,174.41/x
  3. Step 3: Cross multiply
    7,687.38x = 11,519.91 × 4,174.41
  4. Step 4: Simplify right side
    7,687.38x = 48,088,827.50
  5. Step 5: Solve for x
    x = 48,088,827.50/7,687.38
  6. Step 6: Final answer
    x = 6,255.55

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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.