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Finding the Fourth Proportional to 12,162.80, 16,784.63 and 6,857.57

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Solution

The fourth proportional to 12,162.80, 16,784.63 and 6,857.57 is: 9,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.80 : 16,784.63 = 6,857.57 : x
  2. Step 2: Convert to fraction form
    12,162.80/16,784.63 = 6,857.57/x
  3. Step 3: Cross multiply
    12,162.80x = 16,784.63 × 6,857.57
  4. Step 4: Simplify right side
    12,162.80x = 115,101,775.15
  5. Step 5: Solve for x
    x = 115,101,775.15/12,162.80
  6. Step 6: Final answer
    x = 9,463.43

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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.