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Finding the Fourth Proportional to 7,375.86, 11,063.43 and 2,758.50

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Solution

The fourth proportional to 7,375.86, 11,063.43 and 2,758.50 is: 4,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375.86 : 11,063.43 = 2,758.50 : x
  2. Step 2: Convert to fraction form
    7,375.86/11,063.43 = 2,758.50/x
  3. Step 3: Cross multiply
    7,375.86x = 11,063.43 × 2,758.50
  4. Step 4: Simplify right side
    7,375.86x = 30,518,471.66
  5. Step 5: Solve for x
    x = 30,518,471.66/7,375.86
  6. Step 6: Final answer
    x = 4,137.62

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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.