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Finding the Fourth Proportional to 11,786.84, 16,266.12 and 6,482

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Solution

The fourth proportional to 11,786.84, 16,266.12 and 6,482 is: 8,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.84 : 16,266.12 = 6,482 : x
  2. Step 2: Convert to fraction form
    11,786.84/16,266.12 = 6,482/x
  3. Step 3: Cross multiply
    11,786.84x = 16,266.12 × 6,482
  4. Step 4: Simplify right side
    11,786.84x = 105,436,989.84
  5. Step 5: Solve for x
    x = 105,436,989.84/11,786.84
  6. Step 6: Final answer
    x = 8,945.31

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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.