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Finding the Fourth Proportional to 12,162.33, 16,784.04 and 6,857.13

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Solution

The fourth proportional to 12,162.33, 16,784.04 and 6,857.13 is: 9,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.33 : 16,784.04 = 6,857.13 : x
  2. Step 2: Convert to fraction form
    12,162.33/16,784.04 = 6,857.13/x
  3. Step 3: Cross multiply
    12,162.33x = 16,784.04 × 6,857.13
  4. Step 4: Simplify right side
    12,162.33x = 115,090,309.92
  5. Step 5: Solve for x
    x = 115,090,309.92/12,162.33
  6. Step 6: Final answer
    x = 9,462.85

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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.