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Finding the Fourth Proportional to 8,215.64, 12,324.12 and 2,372.30

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Solution

The fourth proportional to 8,215.64, 12,324.12 and 2,372.30 is: 3,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.64 : 12,324.12 = 2,372.30 : x
  2. Step 2: Convert to fraction form
    8,215.64/12,324.12 = 2,372.30/x
  3. Step 3: Cross multiply
    8,215.64x = 12,324.12 × 2,372.30
  4. Step 4: Simplify right side
    8,215.64x = 29,236,509.88
  5. Step 5: Solve for x
    x = 29,236,509.88/8,215.64
  6. Step 6: Final answer
    x = 3,558.64

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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.