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Finding the Fourth Proportional to 11,610.18, 16,021.82 and 6,574.32

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Solution

The fourth proportional to 11,610.18, 16,021.82 and 6,574.32 is: 9,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.18 : 16,021.82 = 6,574.32 : x
  2. Step 2: Convert to fraction form
    11,610.18/16,021.82 = 6,574.32/x
  3. Step 3: Cross multiply
    11,610.18x = 16,021.82 × 6,574.32
  4. Step 4: Simplify right side
    11,610.18x = 105,332,571.66
  5. Step 5: Solve for x
    x = 105,332,571.66/11,610.18
  6. Step 6: Final answer
    x = 9,072.43

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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.