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Finding the Fourth Proportional to 6,900.26, 10,338.24 and 4,118.72

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Solution

The fourth proportional to 6,900.26, 10,338.24 and 4,118.72 is: 6,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.26 : 10,338.24 = 4,118.72 : x
  2. Step 2: Convert to fraction form
    6,900.26/10,338.24 = 4,118.72/x
  3. Step 3: Cross multiply
    6,900.26x = 10,338.24 × 4,118.72
  4. Step 4: Simplify right side
    6,900.26x = 42,580,315.85
  5. Step 5: Solve for x
    x = 42,580,315.85/6,900.26
  6. Step 6: Final answer
    x = 6,170.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.