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Finding the Fourth Proportional to 8,940.84, 12,338.28 and 5,164.80

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Solution

The fourth proportional to 8,940.84, 12,338.28 and 5,164.80 is: 7,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,940.84 : 12,338.28 = 5,164.80 : x
  2. Step 2: Convert to fraction form
    8,940.84/12,338.28 = 5,164.80/x
  3. Step 3: Cross multiply
    8,940.84x = 12,338.28 × 5,164.80
  4. Step 4: Simplify right side
    8,940.84x = 63,724,748.54
  5. Step 5: Solve for x
    x = 63,724,748.54/8,940.84
  6. Step 6: Final answer
    x = 7,127.38

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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.