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Finding the Fourth Proportional to 6,756.86, 10,138.22 and 3,633.21

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Solution

The fourth proportional to 6,756.86, 10,138.22 and 3,633.21 is: 5,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.86 : 10,138.22 = 3,633.21 : x
  2. Step 2: Convert to fraction form
    6,756.86/10,138.22 = 3,633.21/x
  3. Step 3: Cross multiply
    6,756.86x = 10,138.22 × 3,633.21
  4. Step 4: Simplify right side
    6,756.86x = 36,834,264.12
  5. Step 5: Solve for x
    x = 36,834,264.12/6,756.86
  6. Step 6: Final answer
    x = 5,451.39

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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.