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Finding the Fourth Proportional to 8,255.72, 12,385.41 and 2,412.38

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Solution

The fourth proportional to 8,255.72, 12,385.41 and 2,412.38 is: 3,619.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.72 : 12,385.41 = 2,412.38 : x
  2. Step 2: Convert to fraction form
    8,255.72/12,385.41 = 2,412.38/x
  3. Step 3: Cross multiply
    8,255.72x = 12,385.41 × 2,412.38
  4. Step 4: Simplify right side
    8,255.72x = 29,878,337.29
  5. Step 5: Solve for x
    x = 29,878,337.29/8,255.72
  6. Step 6: Final answer
    x = 3,619.11

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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.