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Finding the Fourth Proportional to 10,394.92, 15,579.42 and 5,202.28

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Solution

The fourth proportional to 10,394.92, 15,579.42 and 5,202.28 is: 7,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.92 : 15,579.42 = 5,202.28 : x
  2. Step 2: Convert to fraction form
    10,394.92/15,579.42 = 5,202.28/x
  3. Step 3: Cross multiply
    10,394.92x = 15,579.42 × 5,202.28
  4. Step 4: Simplify right side
    10,394.92x = 81,048,505.08
  5. Step 5: Solve for x
    x = 81,048,505.08/10,394.92
  6. Step 6: Final answer
    x = 7,796.93

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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.