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Finding the Fourth Proportional to 8,476.88, 12,715.34 and 4,091.27

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Solution

The fourth proportional to 8,476.88, 12,715.34 and 4,091.27 is: 6,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.88 : 12,715.34 = 4,091.27 : x
  2. Step 2: Convert to fraction form
    8,476.88/12,715.34 = 4,091.27/x
  3. Step 3: Cross multiply
    8,476.88x = 12,715.34 × 4,091.27
  4. Step 4: Simplify right side
    8,476.88x = 52,021,805.05
  5. Step 5: Solve for x
    x = 52,021,805.05/8,476.88
  6. Step 6: Final answer
    x = 6,136.91

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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.