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Finding the Fourth Proportional to 8,192.43, 11,305.17 and 4,655.82

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Solution

The fourth proportional to 8,192.43, 11,305.17 and 4,655.82 is: 6,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.43 : 11,305.17 = 4,655.82 : x
  2. Step 2: Convert to fraction form
    8,192.43/11,305.17 = 4,655.82/x
  3. Step 3: Cross multiply
    8,192.43x = 11,305.17 × 4,655.82
  4. Step 4: Simplify right side
    8,192.43x = 52,634,836.59
  5. Step 5: Solve for x
    x = 52,634,836.59/8,192.43
  6. Step 6: Final answer
    x = 6,424.81

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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.