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Finding the Fourth Proportional to 8,542.76, 11,786.37 and 5,005.94

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Solution

The fourth proportional to 8,542.76, 11,786.37 and 5,005.94 is: 6,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.76 : 11,786.37 = 5,005.94 : x
  2. Step 2: Convert to fraction form
    8,542.76/11,786.37 = 5,005.94/x
  3. Step 3: Cross multiply
    8,542.76x = 11,786.37 × 5,005.94
  4. Step 4: Simplify right side
    8,542.76x = 59,001,861.04
  5. Step 5: Solve for x
    x = 59,001,861.04/8,542.76
  6. Step 6: Final answer
    x = 6,906.65

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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.