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Finding the Fourth Proportional to 13,607.38, 18,778.94 and 7,940.08

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Solution

The fourth proportional to 13,607.38, 18,778.94 and 7,940.08 is: 10,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.38 : 18,778.94 = 7,940.08 : x
  2. Step 2: Convert to fraction form
    13,607.38/18,778.94 = 7,940.08/x
  3. Step 3: Cross multiply
    13,607.38x = 18,778.94 × 7,940.08
  4. Step 4: Simplify right side
    13,607.38x = 149,106,285.92
  5. Step 5: Solve for x
    x = 149,106,285.92/13,607.38
  6. Step 6: Final answer
    x = 10,957.75

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Why These Related Problems?

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