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Finding the Fourth Proportional to 11,946.78, 16,485 and 6,640.92

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Solution

The fourth proportional to 11,946.78, 16,485 and 6,640.92 is: 9,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.78 : 16,485 = 6,640.92 : x
  2. Step 2: Convert to fraction form
    11,946.78/16,485 = 6,640.92/x
  3. Step 3: Cross multiply
    11,946.78x = 16,485 × 6,640.92
  4. Step 4: Simplify right side
    11,946.78x = 109,475,566.20
  5. Step 5: Solve for x
    x = 109,475,566.20/11,946.78
  6. Step 6: Final answer
    x = 9,163.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.