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Finding the Fourth Proportional to 8,673.86, 11,969.16 and 4,896.84

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Solution

The fourth proportional to 8,673.86, 11,969.16 and 4,896.84 is: 6,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.86 : 11,969.16 = 4,896.84 : x
  2. Step 2: Convert to fraction form
    8,673.86/11,969.16 = 4,896.84/x
  3. Step 3: Cross multiply
    8,673.86x = 11,969.16 × 4,896.84
  4. Step 4: Simplify right side
    8,673.86x = 58,611,061.45
  5. Step 5: Solve for x
    x = 58,611,061.45/8,673.86
  6. Step 6: Final answer
    x = 6,757.21

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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.