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Finding the Fourth Proportional to 10,369.24, 15,553.76 and 4,819.50

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Solution

The fourth proportional to 10,369.24, 15,553.76 and 4,819.50 is: 7,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.24 : 15,553.76 = 4,819.50 : x
  2. Step 2: Convert to fraction form
    10,369.24/15,553.76 = 4,819.50/x
  3. Step 3: Cross multiply
    10,369.24x = 15,553.76 × 4,819.50
  4. Step 4: Simplify right side
    10,369.24x = 74,961,346.32
  5. Step 5: Solve for x
    x = 74,961,346.32/10,369.24
  6. Step 6: Final answer
    x = 7,229.20

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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.