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Finding the Fourth Proportional to 12,162.73, 16,784.13 and 6,858.04

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Solution

The fourth proportional to 12,162.73, 16,784.13 and 6,858.04 is: 9,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.73 : 16,784.13 = 6,858.04 : x
  2. Step 2: Convert to fraction form
    12,162.73/16,784.13 = 6,858.04/x
  3. Step 3: Cross multiply
    12,162.73x = 16,784.13 × 6,858.04
  4. Step 4: Simplify right side
    12,162.73x = 115,106,234.91
  5. Step 5: Solve for x
    x = 115,106,234.91/12,162.73
  6. Step 6: Final answer
    x = 9,463.85

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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.