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Finding the Fourth Proportional to 7,449.66, 11,179.20 and 4,164.91

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Solution

The fourth proportional to 7,449.66, 11,179.20 and 4,164.91 is: 6,250.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.66 : 11,179.20 = 4,164.91 : x
  2. Step 2: Convert to fraction form
    7,449.66/11,179.20 = 4,164.91/x
  3. Step 3: Cross multiply
    7,449.66x = 11,179.20 × 4,164.91
  4. Step 4: Simplify right side
    7,449.66x = 46,560,361.87
  5. Step 5: Solve for x
    x = 46,560,361.87/7,449.66
  6. Step 6: Final answer
    x = 6,250.00

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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.