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Finding the Fourth Proportional to 10,880.94, 15,004.14 and 8,224.14

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Solution

The fourth proportional to 10,880.94, 15,004.14 and 8,224.14 is: 11,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.94 : 15,004.14 = 8,224.14 : x
  2. Step 2: Convert to fraction form
    10,880.94/15,004.14 = 8,224.14/x
  3. Step 3: Cross multiply
    10,880.94x = 15,004.14 × 8,224.14
  4. Step 4: Simplify right side
    10,880.94x = 123,396,147.94
  5. Step 5: Solve for x
    x = 123,396,147.94/10,880.94
  6. Step 6: Final answer
    x = 11,340.58

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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.