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Finding the Fourth Proportional to 12,092.91, 16,689.23 and 7,057.46

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Solution

The fourth proportional to 12,092.91, 16,689.23 and 7,057.46 is: 9,739.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.91 : 16,689.23 = 7,057.46 : x
  2. Step 2: Convert to fraction form
    12,092.91/16,689.23 = 7,057.46/x
  3. Step 3: Cross multiply
    12,092.91x = 16,689.23 × 7,057.46
  4. Step 4: Simplify right side
    12,092.91x = 117,783,543.47
  5. Step 5: Solve for x
    x = 117,783,543.47/12,092.91
  6. Step 6: Final answer
    x = 9,739.88

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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.