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Finding the Fourth Proportional to 8,249.72, 12,375.70 and 2,406.28

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Solution

The fourth proportional to 8,249.72, 12,375.70 and 2,406.28 is: 3,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.72 : 12,375.70 = 2,406.28 : x
  2. Step 2: Convert to fraction form
    8,249.72/12,375.70 = 2,406.28/x
  3. Step 3: Cross multiply
    8,249.72x = 12,375.70 × 2,406.28
  4. Step 4: Simplify right side
    8,249.72x = 29,779,399.40
  5. Step 5: Solve for x
    x = 29,779,399.40/8,249.72
  6. Step 6: Final answer
    x = 3,609.75

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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.