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Finding the Fourth Proportional to 10,471.82, 14,451.48 and 5,995.46

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Solution

The fourth proportional to 10,471.82, 14,451.48 and 5,995.46 is: 8,273.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.82 : 14,451.48 = 5,995.46 : x
  2. Step 2: Convert to fraction form
    10,471.82/14,451.48 = 5,995.46/x
  3. Step 3: Cross multiply
    10,471.82x = 14,451.48 × 5,995.46
  4. Step 4: Simplify right side
    10,471.82x = 86,643,270.28
  5. Step 5: Solve for x
    x = 86,643,270.28/10,471.82
  6. Step 6: Final answer
    x = 8,273.95

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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.