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Finding the Fourth Proportional to 8,044.34, 12,064.89 and 2,201.54

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Solution

The fourth proportional to 8,044.34, 12,064.89 and 2,201.54 is: 3,301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,044.34 : 12,064.89 = 2,201.54 : x
  2. Step 2: Convert to fraction form
    8,044.34/12,064.89 = 2,201.54/x
  3. Step 3: Cross multiply
    8,044.34x = 12,064.89 × 2,201.54
  4. Step 4: Simplify right side
    8,044.34x = 26,561,337.93
  5. Step 5: Solve for x
    x = 26,561,337.93/8,044.34
  6. Step 6: Final answer
    x = 3,301.87

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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.