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Finding the Fourth Proportional to 8,219.25, 12,328.98 and 2,375.87

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Solution

The fourth proportional to 8,219.25, 12,328.98 and 2,375.87 is: 3,563.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.25 : 12,328.98 = 2,375.87 : x
  2. Step 2: Convert to fraction form
    8,219.25/12,328.98 = 2,375.87/x
  3. Step 3: Cross multiply
    8,219.25x = 12,328.98 × 2,375.87
  4. Step 4: Simplify right side
    8,219.25x = 29,291,992.07
  5. Step 5: Solve for x
    x = 29,291,992.07/8,219.25
  6. Step 6: Final answer
    x = 3,563.83

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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.