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Finding the Fourth Proportional to 12,640.72, 18,963.78 and 4,851.76

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Solution

The fourth proportional to 12,640.72, 18,963.78 and 4,851.76 is: 7,278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640.72 : 18,963.78 = 4,851.76 : x
  2. Step 2: Convert to fraction form
    12,640.72/18,963.78 = 4,851.76/x
  3. Step 3: Cross multiply
    12,640.72x = 18,963.78 × 4,851.76
  4. Step 4: Simplify right side
    12,640.72x = 92,007,709.25
  5. Step 5: Solve for x
    x = 92,007,709.25/12,640.72
  6. Step 6: Final answer
    x = 7,278.68

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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.