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Finding the Fourth Proportional to 12,092.82, 16,689.10 and 7,057.37

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Solution

The fourth proportional to 12,092.82, 16,689.10 and 7,057.37 is: 9,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.82 : 16,689.10 = 7,057.37 : x
  2. Step 2: Convert to fraction form
    12,092.82/16,689.10 = 7,057.37/x
  3. Step 3: Cross multiply
    12,092.82x = 16,689.10 × 7,057.37
  4. Step 4: Simplify right side
    12,092.82x = 117,781,079.04
  5. Step 5: Solve for x
    x = 117,781,079.04/12,092.82
  6. Step 6: Final answer
    x = 9,739.76

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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.