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Finding the Fourth Proportional to 8,661.38, 12,989.22 and 3,466.04

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Solution

The fourth proportional to 8,661.38, 12,989.22 and 3,466.04 is: 5,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.38 : 12,989.22 = 3,466.04 : x
  2. Step 2: Convert to fraction form
    8,661.38/12,989.22 = 3,466.04/x
  3. Step 3: Cross multiply
    8,661.38x = 12,989.22 × 3,466.04
  4. Step 4: Simplify right side
    8,661.38x = 45,021,156.09
  5. Step 5: Solve for x
    x = 45,021,156.09/8,661.38
  6. Step 6: Final answer
    x = 5,197.92

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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.