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Finding the Fourth Proportional to 8,930.24, 12,324.60 and 5,204

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Solution

The fourth proportional to 8,930.24, 12,324.60 and 5,204 is: 7,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.24 : 12,324.60 = 5,204 : x
  2. Step 2: Convert to fraction form
    8,930.24/12,324.60 = 5,204/x
  3. Step 3: Cross multiply
    8,930.24x = 12,324.60 × 5,204
  4. Step 4: Simplify right side
    8,930.24x = 64,137,218.40
  5. Step 5: Solve for x
    x = 64,137,218.40/8,930.24
  6. Step 6: Final answer
    x = 7,182.03

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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.