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Finding the Fourth Proportional to 10,204, 15,305.28 and 5,008

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Solution

The fourth proportional to 10,204, 15,305.28 and 5,008 is: 7,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204 : 15,305.28 = 5,008 : x
  2. Step 2: Convert to fraction form
    10,204/15,305.28 = 5,008/x
  3. Step 3: Cross multiply
    10,204x = 15,305.28 × 5,008
  4. Step 4: Simplify right side
    10,204x = 76,648,842.24
  5. Step 5: Solve for x
    x = 76,648,842.24/10,204
  6. Step 6: Final answer
    x = 7,511.65

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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.