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Finding the Fourth Proportional to 7,098.20, 10,647.20 and 3,202.60

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Solution

The fourth proportional to 7,098.20, 10,647.20 and 3,202.60 is: 4,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.20 : 10,647.20 = 3,202.60 : x
  2. Step 2: Convert to fraction form
    7,098.20/10,647.20 = 3,202.60/x
  3. Step 3: Cross multiply
    7,098.20x = 10,647.20 × 3,202.60
  4. Step 4: Simplify right side
    7,098.20x = 34,098,722.72
  5. Step 5: Solve for x
    x = 34,098,722.72/7,098.20
  6. Step 6: Final answer
    x = 4,803.85

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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.