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Finding the Fourth Proportional to 11,009.79, 15,198.64 and 6,471.97

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Solution

The fourth proportional to 11,009.79, 15,198.64 and 6,471.97 is: 8,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009.79 : 15,198.64 = 6,471.97 : x
  2. Step 2: Convert to fraction form
    11,009.79/15,198.64 = 6,471.97/x
  3. Step 3: Cross multiply
    11,009.79x = 15,198.64 × 6,471.97
  4. Step 4: Simplify right side
    11,009.79x = 98,365,087.94
  5. Step 5: Solve for x
    x = 98,365,087.94/11,009.79
  6. Step 6: Final answer
    x = 8,934.33

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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.