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Finding the Fourth Proportional to 7,321.82, 10,103.90 and 4,135.24

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Solution

The fourth proportional to 7,321.82, 10,103.90 and 4,135.24 is: 5,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.82 : 10,103.90 = 4,135.24 : x
  2. Step 2: Convert to fraction form
    7,321.82/10,103.90 = 4,135.24/x
  3. Step 3: Cross multiply
    7,321.82x = 10,103.90 × 4,135.24
  4. Step 4: Simplify right side
    7,321.82x = 41,782,051.44
  5. Step 5: Solve for x
    x = 41,782,051.44/7,321.82
  6. Step 6: Final answer
    x = 5,706.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.