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Finding the Fourth Proportional to 8,674.94, 11,972 and 4,896.77

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Solution

The fourth proportional to 8,674.94, 11,972 and 4,896.77 is: 6,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.94 : 11,972 = 4,896.77 : x
  2. Step 2: Convert to fraction form
    8,674.94/11,972 = 4,896.77/x
  3. Step 3: Cross multiply
    8,674.94x = 11,972 × 4,896.77
  4. Step 4: Simplify right side
    8,674.94x = 58,624,130.44
  5. Step 5: Solve for x
    x = 58,624,130.44/8,674.94
  6. Step 6: Final answer
    x = 6,757.87

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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.