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Finding the Fourth Proportional to 8,221.34, 12,266.94 and 8,032.25

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Solution

The fourth proportional to 8,221.34, 12,266.94 and 8,032.25 is: 11,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.34 : 12,266.94 = 8,032.25 : x
  2. Step 2: Convert to fraction form
    8,221.34/12,266.94 = 8,032.25/x
  3. Step 3: Cross multiply
    8,221.34x = 12,266.94 × 8,032.25
  4. Step 4: Simplify right side
    8,221.34x = 98,531,067.48
  5. Step 5: Solve for x
    x = 98,531,067.48/8,221.34
  6. Step 6: Final answer
    x = 11,984.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.