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Finding the Fourth Proportional to 8,145.42, 12,224.61 and 3,216.30

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Solution

The fourth proportional to 8,145.42, 12,224.61 and 3,216.30 is: 4,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.42 : 12,224.61 = 3,216.30 : x
  2. Step 2: Convert to fraction form
    8,145.42/12,224.61 = 3,216.30/x
  3. Step 3: Cross multiply
    8,145.42x = 12,224.61 × 3,216.30
  4. Step 4: Simplify right side
    8,145.42x = 39,318,013.14
  5. Step 5: Solve for x
    x = 39,318,013.14/8,145.42
  6. Step 6: Final answer
    x = 4,827.01

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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.