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Finding the Fourth Proportional to 11,751.28, 16,217.07 and 6,646.38

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Solution

The fourth proportional to 11,751.28, 16,217.07 and 6,646.38 is: 9,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.28 : 16,217.07 = 6,646.38 : x
  2. Step 2: Convert to fraction form
    11,751.28/16,217.07 = 6,646.38/x
  3. Step 3: Cross multiply
    11,751.28x = 16,217.07 × 6,646.38
  4. Step 4: Simplify right side
    11,751.28x = 107,784,723.97
  5. Step 5: Solve for x
    x = 107,784,723.97/11,751.28
  6. Step 6: Final answer
    x = 9,172.17

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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.