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Finding the Fourth Proportional to 12,162.45, 16,784.19 and 6,857.31

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Solution

The fourth proportional to 12,162.45, 16,784.19 and 6,857.31 is: 9,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.45 : 16,784.19 = 6,857.31 : x
  2. Step 2: Convert to fraction form
    12,162.45/16,784.19 = 6,857.31/x
  3. Step 3: Cross multiply
    12,162.45x = 16,784.19 × 6,857.31
  4. Step 4: Simplify right side
    12,162.45x = 115,094,393.93
  5. Step 5: Solve for x
    x = 115,094,393.93/12,162.45
  6. Step 6: Final answer
    x = 9,463.09

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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.