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Finding the Fourth Proportional to 10,195.28, 15,294 and 3,622.08

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Solution

The fourth proportional to 10,195.28, 15,294 and 3,622.08 is: 5,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.28 : 15,294 = 3,622.08 : x
  2. Step 2: Convert to fraction form
    10,195.28/15,294 = 3,622.08/x
  3. Step 3: Cross multiply
    10,195.28x = 15,294 × 3,622.08
  4. Step 4: Simplify right side
    10,195.28x = 55,396,091.52
  5. Step 5: Solve for x
    x = 55,396,091.52/10,195.28
  6. Step 6: Final answer
    x = 5,433.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.