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Finding the Fourth Proportional to 8,219.48, 12,302.22 and 7,431.80

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Solution

The fourth proportional to 8,219.48, 12,302.22 and 7,431.80 is: 11,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.48 : 12,302.22 = 7,431.80 : x
  2. Step 2: Convert to fraction form
    8,219.48/12,302.22 = 7,431.80/x
  3. Step 3: Cross multiply
    8,219.48x = 12,302.22 × 7,431.80
  4. Step 4: Simplify right side
    8,219.48x = 91,427,638.60
  5. Step 5: Solve for x
    x = 91,427,638.60/8,219.48
  6. Step 6: Final answer
    x = 11,123.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.