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Finding the Fourth Proportional to 12,162.30, 16,783.94 and 6,857.08

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Solution

The fourth proportional to 12,162.30, 16,783.94 and 6,857.08 is: 9,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.30 : 16,783.94 = 6,857.08 : x
  2. Step 2: Convert to fraction form
    12,162.30/16,783.94 = 6,857.08/x
  3. Step 3: Cross multiply
    12,162.30x = 16,783.94 × 6,857.08
  4. Step 4: Simplify right side
    12,162.30x = 115,088,735.38
  5. Step 5: Solve for x
    x = 115,088,735.38/12,162.30
  6. Step 6: Final answer
    x = 9,462.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.