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Finding the Fourth Proportional to 8,153.41, 12,229.09 and 2,606.29

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Solution

The fourth proportional to 8,153.41, 12,229.09 and 2,606.29 is: 3,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.41 : 12,229.09 = 2,606.29 : x
  2. Step 2: Convert to fraction form
    8,153.41/12,229.09 = 2,606.29/x
  3. Step 3: Cross multiply
    8,153.41x = 12,229.09 × 2,606.29
  4. Step 4: Simplify right side
    8,153.41x = 31,872,541.94
  5. Step 5: Solve for x
    x = 31,872,541.94/8,153.41
  6. Step 6: Final answer
    x = 3,909.11

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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.