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Finding the Fourth Proportional to 7,159.94, 10,744.16 and 3,872.96

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Solution

The fourth proportional to 7,159.94, 10,744.16 and 3,872.96 is: 5,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.94 : 10,744.16 = 3,872.96 : x
  2. Step 2: Convert to fraction form
    7,159.94/10,744.16 = 3,872.96/x
  3. Step 3: Cross multiply
    7,159.94x = 10,744.16 × 3,872.96
  4. Step 4: Simplify right side
    7,159.94x = 41,611,628.83
  5. Step 5: Solve for x
    x = 41,611,628.83/7,159.94
  6. Step 6: Final answer
    x = 5,811.73

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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.