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Finding the Fourth Proportional to 8,154.42, 12,224.71 and 3,227.53

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Solution

The fourth proportional to 8,154.42, 12,224.71 and 3,227.53 is: 4,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.42 : 12,224.71 = 3,227.53 : x
  2. Step 2: Convert to fraction form
    8,154.42/12,224.71 = 3,227.53/x
  3. Step 3: Cross multiply
    8,154.42x = 12,224.71 × 3,227.53
  4. Step 4: Simplify right side
    8,154.42x = 39,455,618.27
  5. Step 5: Solve for x
    x = 39,455,618.27/8,154.42
  6. Step 6: Final answer
    x = 4,838.56

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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.