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Finding the Fourth Proportional to 8,468.37, 11,674.80 and 5,635.87

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Solution

The fourth proportional to 8,468.37, 11,674.80 and 5,635.87 is: 7,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.37 : 11,674.80 = 5,635.87 : x
  2. Step 2: Convert to fraction form
    8,468.37/11,674.80 = 5,635.87/x
  3. Step 3: Cross multiply
    8,468.37x = 11,674.80 × 5,635.87
  4. Step 4: Simplify right side
    8,468.37x = 65,797,625.89
  5. Step 5: Solve for x
    x = 65,797,625.89/8,468.37
  6. Step 6: Final answer
    x = 7,769.81

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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.