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Finding the Fourth Proportional to 8,269.47, 12,375.60 and 5,105.61

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Solution

The fourth proportional to 8,269.47, 12,375.60 and 5,105.61 is: 7,640.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.47 : 12,375.60 = 5,105.61 : x
  2. Step 2: Convert to fraction form
    8,269.47/12,375.60 = 5,105.61/x
  3. Step 3: Cross multiply
    8,269.47x = 12,375.60 × 5,105.61
  4. Step 4: Simplify right side
    8,269.47x = 63,184,987.12
  5. Step 5: Solve for x
    x = 63,184,987.12/8,269.47
  6. Step 6: Final answer
    x = 7,640.75

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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.