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Finding the Fourth Proportional to 7,450.66, 11,180.70 and 4,165.91

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Solution

The fourth proportional to 7,450.66, 11,180.70 and 4,165.91 is: 6,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,450.66 : 11,180.70 = 4,165.91 : x
  2. Step 2: Convert to fraction form
    7,450.66/11,180.70 = 4,165.91/x
  3. Step 3: Cross multiply
    7,450.66x = 11,180.70 × 4,165.91
  4. Step 4: Simplify right side
    7,450.66x = 46,577,789.94
  5. Step 5: Solve for x
    x = 46,577,789.94/7,450.66
  6. Step 6: Final answer
    x = 6,251.50

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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.