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Finding the Fourth Proportional to 7,100.56, 10,650.75 and 3,202.21

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Solution

The fourth proportional to 7,100.56, 10,650.75 and 3,202.21 is: 4,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.56 : 10,650.75 = 3,202.21 : x
  2. Step 2: Convert to fraction form
    7,100.56/10,650.75 = 3,202.21/x
  3. Step 3: Cross multiply
    7,100.56x = 10,650.75 × 3,202.21
  4. Step 4: Simplify right side
    7,100.56x = 34,105,938.16
  5. Step 5: Solve for x
    x = 34,105,938.16/7,100.56
  6. Step 6: Final answer
    x = 4,803.27

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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.