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Finding the Fourth Proportional to 7,586.69, 11,383.07 and 2,659.86

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Solution

The fourth proportional to 7,586.69, 11,383.07 and 2,659.86 is: 3,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.69 : 11,383.07 = 2,659.86 : x
  2. Step 2: Convert to fraction form
    7,586.69/11,383.07 = 2,659.86/x
  3. Step 3: Cross multiply
    7,586.69x = 11,383.07 × 2,659.86
  4. Step 4: Simplify right side
    7,586.69x = 30,277,359.27
  5. Step 5: Solve for x
    x = 30,277,359.27/7,586.69
  6. Step 6: Final answer
    x = 3,990.85

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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.