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Finding the Fourth Proportional to 8,221.41, 11,331.09 and 6,548.36

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Solution

The fourth proportional to 8,221.41, 11,331.09 and 6,548.36 is: 9,025.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.41 : 11,331.09 = 6,548.36 : x
  2. Step 2: Convert to fraction form
    8,221.41/11,331.09 = 6,548.36/x
  3. Step 3: Cross multiply
    8,221.41x = 11,331.09 × 6,548.36
  4. Step 4: Simplify right side
    8,221.41x = 74,199,999.86
  5. Step 5: Solve for x
    x = 74,199,999.86/8,221.41
  6. Step 6: Final answer
    x = 9,025.22

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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.