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Finding the Fourth Proportional to 8,661.81, 11,952.41 and 6,394.36

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Solution

The fourth proportional to 8,661.81, 11,952.41 and 6,394.36 is: 8,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.81 : 11,952.41 = 6,394.36 : x
  2. Step 2: Convert to fraction form
    8,661.81/11,952.41 = 6,394.36/x
  3. Step 3: Cross multiply
    8,661.81x = 11,952.41 × 6,394.36
  4. Step 4: Simplify right side
    8,661.81x = 76,428,012.41
  5. Step 5: Solve for x
    x = 76,428,012.41/8,661.81
  6. Step 6: Final answer
    x = 8,823.56

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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.