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Finding the Fourth Proportional to 10,812.96, 16,211.16 and 4,965.48

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Solution

The fourth proportional to 10,812.96, 16,211.16 and 4,965.48 is: 7,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.96 : 16,211.16 = 4,965.48 : x
  2. Step 2: Convert to fraction form
    10,812.96/16,211.16 = 4,965.48/x
  3. Step 3: Cross multiply
    10,812.96x = 16,211.16 × 4,965.48
  4. Step 4: Simplify right side
    10,812.96x = 80,496,190.76
  5. Step 5: Solve for x
    x = 80,496,190.76/10,812.96
  6. Step 6: Final answer
    x = 7,444.42

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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.