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Finding the Fourth Proportional to 7,100.80, 10,651.12 and 3,202.48

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Solution

The fourth proportional to 7,100.80, 10,651.12 and 3,202.48 is: 4,803.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.80 : 10,651.12 = 3,202.48 : x
  2. Step 2: Convert to fraction form
    7,100.80/10,651.12 = 3,202.48/x
  3. Step 3: Cross multiply
    7,100.80x = 10,651.12 × 3,202.48
  4. Step 4: Simplify right side
    7,100.80x = 34,109,998.78
  5. Step 5: Solve for x
    x = 34,109,998.78/7,100.80
  6. Step 6: Final answer
    x = 4,803.68

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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.