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Finding the Fourth Proportional to 11,686.84, 16,128.12 and 6,381.61

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Solution

The fourth proportional to 11,686.84, 16,128.12 and 6,381.61 is: 8,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.84 : 16,128.12 = 6,381.61 : x
  2. Step 2: Convert to fraction form
    11,686.84/16,128.12 = 6,381.61/x
  3. Step 3: Cross multiply
    11,686.84x = 16,128.12 × 6,381.61
  4. Step 4: Simplify right side
    11,686.84x = 102,923,371.87
  5. Step 5: Solve for x
    x = 102,923,371.87/11,686.84
  6. Step 6: Final answer
    x = 8,806.78

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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.