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Finding the Fourth Proportional to 7,299.86, 10,950.90 and 2,682.50

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Solution

The fourth proportional to 7,299.86, 10,950.90 and 2,682.50 is: 4,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.86 : 10,950.90 = 2,682.50 : x
  2. Step 2: Convert to fraction form
    7,299.86/10,950.90 = 2,682.50/x
  3. Step 3: Cross multiply
    7,299.86x = 10,950.90 × 2,682.50
  4. Step 4: Simplify right side
    7,299.86x = 29,375,789.25
  5. Step 5: Solve for x
    x = 29,375,789.25/7,299.86
  6. Step 6: Final answer
    x = 4,024.16

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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.