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Finding the Fourth Proportional to 12,163.62, 16,785.68 and 6,786

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Solution

The fourth proportional to 12,163.62, 16,785.68 and 6,786 is: 9,364.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.62 : 16,785.68 = 6,786 : x
  2. Step 2: Convert to fraction form
    12,163.62/16,785.68 = 6,786/x
  3. Step 3: Cross multiply
    12,163.62x = 16,785.68 × 6,786
  4. Step 4: Simplify right side
    12,163.62x = 113,907,624.48
  5. Step 5: Solve for x
    x = 113,907,624.48/12,163.62
  6. Step 6: Final answer
    x = 9,364.62

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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.